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Simplifying 6 + -3x + 2(4x + -5) = 12 + 2x + -1(4x + 3) Reorder the terms: 6 + -3x + 2(-5 + 4x) = 12 + 2x + -1(4x + 3) 6 + -3x + (-5 * 2 + 4x * 2) = 12 + 2x + -1(4x + 3) 6 + -3x + (-10 + 8x) = 12 + 2x + -1(4x + 3) Reorder the terms: 6 + -10 + -3x + 8x = 12 + 2x + -1(4x + 3) Combine like terms: 6 + -10 = -4 -4 + -3x + 8x = 12 + 2x + -1(4x + 3) Combine like terms: -3x + 8x = 5x -4 + 5x = 12 + 2x + -1(4x + 3) Reorder the terms: -4 + 5x = 12 + 2x + -1(3 + 4x) -4 + 5x = 12 + 2x + (3 * -1 + 4x * -1) -4 + 5x = 12 + 2x + (-3 + -4x) Reorder the terms: -4 + 5x = 12 + -3 + 2x + -4x Combine like terms: 12 + -3 = 9 -4 + 5x = 9 + 2x + -4x Combine like terms: 2x + -4x = -2x -4 + 5x = 9 + -2x Solving -4 + 5x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 5x + 2x = 9 + -2x + 2x Combine like terms: 5x + 2x = 7x -4 + 7x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 7x = 9 + 0 -4 + 7x = 9 Add '4' to each side of the equation. -4 + 4 + 7x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 9 + 4 7x = 9 + 4 Combine like terms: 9 + 4 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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