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Simplifying 5x + -1(3x + -5) = 7x + 8 Reorder the terms: 5x + -1(-5 + 3x) = 7x + 8 5x + (-5 * -1 + 3x * -1) = 7x + 8 5x + (5 + -3x) = 7x + 8 Reorder the terms: 5 + 5x + -3x = 7x + 8 Combine like terms: 5x + -3x = 2x 5 + 2x = 7x + 8 Reorder the terms: 5 + 2x = 8 + 7x Solving 5 + 2x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 2x + -7x = 8 + 7x + -7x Combine like terms: 2x + -7x = -5x 5 + -5x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -5x = 8 + 0 5 + -5x = 8 Add '-5' to each side of the equation. 5 + -5 + -5x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 8 + -5 -5x = 8 + -5 Combine like terms: 8 + -5 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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