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Simplifying 3(x + 6) = 2(x + -7) Reorder the terms: 3(6 + x) = 2(x + -7) (6 * 3 + x * 3) = 2(x + -7) (18 + 3x) = 2(x + -7) Reorder the terms: 18 + 3x = 2(-7 + x) 18 + 3x = (-7 * 2 + x * 2) 18 + 3x = (-14 + 2x) Solving 18 + 3x = -14 + 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. 18 + 3x + -2x = -14 + 2x + -2x Combine like terms: 3x + -2x = 1x 18 + 1x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 1x = -14 + 0 18 + 1x = -14 Add '-18' to each side of the equation. 18 + -18 + 1x = -14 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = -14 + -18 1x = -14 + -18 Combine like terms: -14 + -18 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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