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