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Simplifying -3(x + 6) = 7 + -2(x + -6) Reorder the terms: -3(6 + x) = 7 + -2(x + -6) (6 * -3 + x * -3) = 7 + -2(x + -6) (-18 + -3x) = 7 + -2(x + -6) Reorder the terms: -18 + -3x = 7 + -2(-6 + x) -18 + -3x = 7 + (-6 * -2 + x * -2) -18 + -3x = 7 + (12 + -2x) Combine like terms: 7 + 12 = 19 -18 + -3x = 19 + -2x Solving -18 + -3x = 19 + -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 = 19 + -2x + 2x Combine like terms: -3x + 2x = -1x -18 + -1x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + -1x = 19 + 0 -18 + -1x = 19 Add '18' to each side of the equation. -18 + 18 + -1x = 19 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 19 + 18 -1x = 19 + 18 Combine like terms: 19 + 18 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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