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Simplifying 3 + 5(2x + -1) = 8 + -3(4 + -5x) Reorder the terms: 3 + 5(-1 + 2x) = 8 + -3(4 + -5x) 3 + (-1 * 5 + 2x * 5) = 8 + -3(4 + -5x) 3 + (-5 + 10x) = 8 + -3(4 + -5x) Combine like terms: 3 + -5 = -2 -2 + 10x = 8 + -3(4 + -5x) -2 + 10x = 8 + (4 * -3 + -5x * -3) -2 + 10x = 8 + (-12 + 15x) Combine like terms: 8 + -12 = -4 -2 + 10x = -4 + 15x Solving -2 + 10x = -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. -2 + 10x + -15x = -4 + 15x + -15x Combine like terms: 10x + -15x = -5x -2 + -5x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -2 + -5x = -4 + 0 -2 + -5x = -4 Add '2' to each side of the equation. -2 + 2 + -5x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -4 + 2 -5x = -4 + 2 Combine like terms: -4 + 2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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