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Simplifying 7x + -1(8x + -10) = x + 2 Reorder the terms: 7x + -1(-10 + 8x) = x + 2 7x + (-10 * -1 + 8x * -1) = x + 2 7x + (10 + -8x) = x + 2 Reorder the terms: 10 + 7x + -8x = x + 2 Combine like terms: 7x + -8x = -1x 10 + -1x = x + 2 Reorder the terms: 10 + -1x = 2 + x Solving 10 + -1x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -1x + -1x = 2 + x + -1x Combine like terms: -1x + -1x = -2x 10 + -2x = 2 + x + -1x Combine like terms: x + -1x = 0 10 + -2x = 2 + 0 10 + -2x = 2 Add '-10' to each side of the equation. 10 + -10 + -2x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 2 + -10 -2x = 2 + -10 Combine like terms: 2 + -10 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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