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Simplifying 2(x + -3) + -4x = 15 + -1(x + 6) Reorder the terms: 2(-3 + x) + -4x = 15 + -1(x + 6) (-3 * 2 + x * 2) + -4x = 15 + -1(x + 6) (-6 + 2x) + -4x = 15 + -1(x + 6) Combine like terms: 2x + -4x = -2x -6 + -2x = 15 + -1(x + 6) Reorder the terms: -6 + -2x = 15 + -1(6 + x) -6 + -2x = 15 + (6 * -1 + x * -1) -6 + -2x = 15 + (-6 + -1x) Combine like terms: 15 + -6 = 9 -6 + -2x = 9 + -1x Solving -6 + -2x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + -2x + x = 9 + -1x + x Combine like terms: -2x + x = -1x -6 + -1x = 9 + -1x + x Combine like terms: -1x + x = 0 -6 + -1x = 9 + 0 -6 + -1x = 9 Add '6' to each side of the equation. -6 + 6 + -1x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 9 + 6 -1x = 9 + 6 Combine like terms: 9 + 6 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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