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Simplifying 8 + -3(5x + -4) = 5(1 + -1x) + -10 Reorder the terms: 8 + -3(-4 + 5x) = 5(1 + -1x) + -10 8 + (-4 * -3 + 5x * -3) = 5(1 + -1x) + -10 8 + (12 + -15x) = 5(1 + -1x) + -10 Combine like terms: 8 + 12 = 20 20 + -15x = 5(1 + -1x) + -10 20 + -15x = (1 * 5 + -1x * 5) + -10 20 + -15x = (5 + -5x) + -10 Reorder the terms: 20 + -15x = 5 + -10 + -5x Combine like terms: 5 + -10 = -5 20 + -15x = -5 + -5x Solving 20 + -15x = -5 + -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. 20 + -15x + 5x = -5 + -5x + 5x Combine like terms: -15x + 5x = -10x 20 + -10x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + -10x = -5 + 0 20 + -10x = -5 Add '-20' to each side of the equation. 20 + -20 + -10x = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -5 + -20 -10x = -5 + -20 Combine like terms: -5 + -20 = -25 -10x = -25 Divide each side by '-10'. x = 2.5 Simplifying x = 2.5
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