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