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