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Simplifying 3(x + -6) = 2(3x + -24) Reorder the terms: 3(-6 + x) = 2(3x + -24) (-6 * 3 + x * 3) = 2(3x + -24) (-18 + 3x) = 2(3x + -24) Reorder the terms: -18 + 3x = 2(-24 + 3x) -18 + 3x = (-24 * 2 + 3x * 2) -18 + 3x = (-48 + 6x) Solving -18 + 3x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 3x + -6x = -48 + 6x + -6x Combine like terms: 3x + -6x = -3x -18 + -3x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -3x = -48 + 0 -18 + -3x = -48 Add '18' to each side of the equation. -18 + 18 + -3x = -48 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -48 + 18 -3x = -48 + 18 Combine like terms: -48 + 18 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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