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Simplifying 2(x + -6) + -3x = 3(3 + 2x) Reorder the terms: 2(-6 + x) + -3x = 3(3 + 2x) (-6 * 2 + x * 2) + -3x = 3(3 + 2x) (-12 + 2x) + -3x = 3(3 + 2x) Combine like terms: 2x + -3x = -1x -12 + -1x = 3(3 + 2x) -12 + -1x = (3 * 3 + 2x * 3) -12 + -1x = (9 + 6x) Solving -12 + -1x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -1x + -6x = 9 + 6x + -6x Combine like terms: -1x + -6x = -7x -12 + -7x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -7x = 9 + 0 -12 + -7x = 9 Add '12' to each side of the equation. -12 + 12 + -7x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 9 + 12 -7x = 9 + 12 Combine like terms: 9 + 12 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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