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Simplifying 2(x + -6) + 3 = -3(4 + -1x) Reorder the terms: 2(-6 + x) + 3 = -3(4 + -1x) (-6 * 2 + x * 2) + 3 = -3(4 + -1x) (-12 + 2x) + 3 = -3(4 + -1x) Reorder the terms: -12 + 3 + 2x = -3(4 + -1x) Combine like terms: -12 + 3 = -9 -9 + 2x = -3(4 + -1x) -9 + 2x = (4 * -3 + -1x * -3) -9 + 2x = (-12 + 3x) Solving -9 + 2x = -12 + 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. -9 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x -9 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -1x = -12 + 0 -9 + -1x = -12 Add '9' to each side of the equation. -9 + 9 + -1x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -12 + 9 -1x = -12 + 9 Combine like terms: -12 + 9 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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