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Simplifying 3(x + 5) + -8 = 5(1 + -2x) + -3 Reorder the terms: 3(5 + x) + -8 = 5(1 + -2x) + -3 (5 * 3 + x * 3) + -8 = 5(1 + -2x) + -3 (15 + 3x) + -8 = 5(1 + -2x) + -3 Reorder the terms: 15 + -8 + 3x = 5(1 + -2x) + -3 Combine like terms: 15 + -8 = 7 7 + 3x = 5(1 + -2x) + -3 7 + 3x = (1 * 5 + -2x * 5) + -3 7 + 3x = (5 + -10x) + -3 Reorder the terms: 7 + 3x = 5 + -3 + -10x Combine like terms: 5 + -3 = 2 7 + 3x = 2 + -10x Solving 7 + 3x = 2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 7 + 3x + 10x = 2 + -10x + 10x Combine like terms: 3x + 10x = 13x 7 + 13x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 13x = 2 + 0 7 + 13x = 2 Add '-7' to each side of the equation. 7 + -7 + 13x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 2 + -7 13x = 2 + -7 Combine like terms: 2 + -7 = -5 13x = -5 Divide each side by '13'. x = -0.3846153846 Simplifying x = -0.3846153846
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