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Simplifying 2(x + -6) = 3(x + 7) Reorder the terms: 2(-6 + x) = 3(x + 7) (-6 * 2 + x * 2) = 3(x + 7) (-12 + 2x) = 3(x + 7) Reorder the terms: -12 + 2x = 3(7 + x) -12 + 2x = (7 * 3 + x * 3) -12 + 2x = (21 + 3x) Solving -12 + 2x = 21 + 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. -12 + 2x + -3x = 21 + 3x + -3x Combine like terms: 2x + -3x = -1x -12 + -1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -1x = 21 + 0 -12 + -1x = 21 Add '12' to each side of the equation. -12 + 12 + -1x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 21 + 12 -1x = 21 + 12 Combine like terms: 21 + 12 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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