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Simplifying 5 + 3x + -6(2x + -1) + 4x = 7 + -2(2x + 1) + -3 Reorder the terms: 5 + 3x + -6(-1 + 2x) + 4x = 7 + -2(2x + 1) + -3 5 + 3x + (-1 * -6 + 2x * -6) + 4x = 7 + -2(2x + 1) + -3 5 + 3x + (6 + -12x) + 4x = 7 + -2(2x + 1) + -3 Reorder the terms: 5 + 6 + 3x + -12x + 4x = 7 + -2(2x + 1) + -3 Combine like terms: 5 + 6 = 11 11 + 3x + -12x + 4x = 7 + -2(2x + 1) + -3 Combine like terms: 3x + -12x = -9x 11 + -9x + 4x = 7 + -2(2x + 1) + -3 Combine like terms: -9x + 4x = -5x 11 + -5x = 7 + -2(2x + 1) + -3 Reorder the terms: 11 + -5x = 7 + -2(1 + 2x) + -3 11 + -5x = 7 + (1 * -2 + 2x * -2) + -3 11 + -5x = 7 + (-2 + -4x) + -3 Reorder the terms: 11 + -5x = 7 + -2 + -3 + -4x Combine like terms: 7 + -2 = 5 11 + -5x = 5 + -3 + -4x Combine like terms: 5 + -3 = 2 11 + -5x = 2 + -4x Solving 11 + -5x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 11 + -5x + 4x = 2 + -4x + 4x Combine like terms: -5x + 4x = -1x 11 + -1x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 11 + -1x = 2 + 0 11 + -1x = 2 Add '-11' to each side of the equation. 11 + -11 + -1x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 2 + -11 -1x = 2 + -11 Combine like terms: 2 + -11 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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