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Simplifying 3(2x + 8) = -5(-1 + x) + -8x Reorder the terms: 3(8 + 2x) = -5(-1 + x) + -8x (8 * 3 + 2x * 3) = -5(-1 + x) + -8x (24 + 6x) = -5(-1 + x) + -8x 24 + 6x = (-1 * -5 + x * -5) + -8x 24 + 6x = (5 + -5x) + -8x Combine like terms: -5x + -8x = -13x 24 + 6x = 5 + -13x Solving 24 + 6x = 5 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 24 + 6x + 13x = 5 + -13x + 13x Combine like terms: 6x + 13x = 19x 24 + 19x = 5 + -13x + 13x Combine like terms: -13x + 13x = 0 24 + 19x = 5 + 0 24 + 19x = 5 Add '-24' to each side of the equation. 24 + -24 + 19x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 19x = 5 + -24 19x = 5 + -24 Combine like terms: 5 + -24 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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