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