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Simplifying 10x + -1(3x + -7) = 5x + 8 Reorder the terms: 10x + -1(-7 + 3x) = 5x + 8 10x + (-7 * -1 + 3x * -1) = 5x + 8 10x + (7 + -3x) = 5x + 8 Reorder the terms: 7 + 10x + -3x = 5x + 8 Combine like terms: 10x + -3x = 7x 7 + 7x = 5x + 8 Reorder the terms: 7 + 7x = 8 + 5x Solving 7 + 7x = 8 + 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. 7 + 7x + -5x = 8 + 5x + -5x Combine like terms: 7x + -5x = 2x 7 + 2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 2x = 8 + 0 7 + 2x = 8 Add '-7' to each side of the equation. 7 + -7 + 2x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 8 + -7 2x = 8 + -7 Combine like terms: 8 + -7 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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