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Simplifying 10x + -1(8x + -7) = 21 Reorder the terms: 10x + -1(-7 + 8x) = 21 10x + (-7 * -1 + 8x * -1) = 21 10x + (7 + -8x) = 21 Reorder the terms: 7 + 10x + -8x = 21 Combine like terms: 10x + -8x = 2x 7 + 2x = 21 Solving 7 + 2x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 21 + -7 2x = 21 + -7 Combine like terms: 21 + -7 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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