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Simplifying 3x + 5(1 + -2x) = 8 + -3(4 + -5x) 3x + (1 * 5 + -2x * 5) = 8 + -3(4 + -5x) 3x + (5 + -10x) = 8 + -3(4 + -5x) Reorder the terms: 5 + 3x + -10x = 8 + -3(4 + -5x) Combine like terms: 3x + -10x = -7x 5 + -7x = 8 + -3(4 + -5x) 5 + -7x = 8 + (4 * -3 + -5x * -3) 5 + -7x = 8 + (-12 + 15x) Combine like terms: 8 + -12 = -4 5 + -7x = -4 + 15x Solving 5 + -7x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + -7x + -15x = -4 + 15x + -15x Combine like terms: -7x + -15x = -22x 5 + -22x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -22x = -4 + 0 5 + -22x = -4 Add '-5' to each side of the equation. 5 + -5 + -22x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -22x = -4 + -5 -22x = -4 + -5 Combine like terms: -4 + -5 = -9 -22x = -9 Divide each side by '-22'. x = 0.4090909091 Simplifying x = 0.4090909091
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