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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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