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Simplifying 8x + -1(3x + -5) = 40(x + 1) + -40x Reorder the terms: 8x + -1(-5 + 3x) = 40(x + 1) + -40x 8x + (-5 * -1 + 3x * -1) = 40(x + 1) + -40x 8x + (5 + -3x) = 40(x + 1) + -40x Reorder the terms: 5 + 8x + -3x = 40(x + 1) + -40x Combine like terms: 8x + -3x = 5x 5 + 5x = 40(x + 1) + -40x Reorder the terms: 5 + 5x = 40(1 + x) + -40x 5 + 5x = (1 * 40 + x * 40) + -40x 5 + 5x = (40 + 40x) + -40x Combine like terms: 40x + -40x = 0 5 + 5x = 40 + 0 5 + 5x = 40 Solving 5 + 5x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5x = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 40 + -5 5x = 40 + -5 Combine like terms: 40 + -5 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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