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Simplifying (24 + -6)(x + 2) = 5(x + -1) + -12 Combine like terms: 24 + -6 = 18 (18)(x + 2) = 5(x + -1) + -12 Reorder the terms: 18(2 + x) = 5(x + -1) + -12 (2 * 18 + x * 18) = 5(x + -1) + -12 (36 + 18x) = 5(x + -1) + -12 Reorder the terms: 36 + 18x = 5(-1 + x) + -12 36 + 18x = (-1 * 5 + x * 5) + -12 36 + 18x = (-5 + 5x) + -12 Reorder the terms: 36 + 18x = -5 + -12 + 5x Combine like terms: -5 + -12 = -17 36 + 18x = -17 + 5x Solving 36 + 18x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 18x + -5x = -17 + 5x + -5x Combine like terms: 18x + -5x = 13x 36 + 13x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 13x = -17 + 0 36 + 13x = -17 Add '-36' to each side of the equation. 36 + -36 + 13x = -17 + -36 Combine like terms: 36 + -36 = 0 0 + 13x = -17 + -36 13x = -17 + -36 Combine like terms: -17 + -36 = -53 13x = -53 Divide each side by '13'. x = -4.076923077 Simplifying x = -4.076923077
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