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Simplifying 6(3x + -5 + 2x) + -4 + 4x + -1(2x + -3) = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Reorder the terms: 6(-5 + 3x + 2x) + -4 + 4x + -1(2x + -3) = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Combine like terms: 3x + 2x = 5x 6(-5 + 5x) + -4 + 4x + -1(2x + -3) = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 (-5 * 6 + 5x * 6) + -4 + 4x + -1(2x + -3) = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 (-30 + 30x) + -4 + 4x + -1(2x + -3) = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Reorder the terms: -30 + 30x + -4 + 4x + -1(-3 + 2x) = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 -30 + 30x + -4 + 4x + (-3 * -1 + 2x * -1) = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 -30 + 30x + -4 + 4x + (3 + -2x) = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Reorder the terms: -30 + -4 + 3 + 30x + 4x + -2x = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Combine like terms: -30 + -4 = -34 -34 + 3 + 30x + 4x + -2x = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Combine like terms: -34 + 3 = -31 -31 + 30x + 4x + -2x = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Combine like terms: 30x + 4x = 34x -31 + 34x + -2x = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Combine like terms: 34x + -2x = 32x -31 + 32x = 5x + 8(-2x + -3) + -2(-5 + -7x) + 12 Reorder the terms: -31 + 32x = 5x + 8(-3 + -2x) + -2(-5 + -7x) + 12 -31 + 32x = 5x + (-3 * 8 + -2x * 8) + -2(-5 + -7x) + 12 -31 + 32x = 5x + (-24 + -16x) + -2(-5 + -7x) + 12 -31 + 32x = 5x + -24 + -16x + (-5 * -2 + -7x * -2) + 12 -31 + 32x = 5x + -24 + -16x + (10 + 14x) + 12 Reorder the terms: -31 + 32x = -24 + 10 + 12 + 5x + -16x + 14x Combine like terms: -24 + 10 = -14 -31 + 32x = -14 + 12 + 5x + -16x + 14x Combine like terms: -14 + 12 = -2 -31 + 32x = -2 + 5x + -16x + 14x Combine like terms: 5x + -16x = -11x -31 + 32x = -2 + -11x + 14x Combine like terms: -11x + 14x = 3x -31 + 32x = -2 + 3x Solving -31 + 32x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -31 + 32x + -3x = -2 + 3x + -3x Combine like terms: 32x + -3x = 29x -31 + 29x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 29x = -2 + 0 -31 + 29x = -2 Add '31' to each side of the equation. -31 + 31 + 29x = -2 + 31 Combine like terms: -31 + 31 = 0 0 + 29x = -2 + 31 29x = -2 + 31 Combine like terms: -2 + 31 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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