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Simplifying (-8x + 10) = 87 + -1(21 + 10x) Reorder the terms: (10 + -8x) = 87 + -1(21 + 10x) Remove parenthesis around (10 + -8x) 10 + -8x = 87 + -1(21 + 10x) 10 + -8x = 87 + (21 * -1 + 10x * -1) 10 + -8x = 87 + (-21 + -10x) Combine like terms: 87 + -21 = 66 10 + -8x = 66 + -10x Solving 10 + -8x = 66 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 10 + -8x + 10x = 66 + -10x + 10x Combine like terms: -8x + 10x = 2x 10 + 2x = 66 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + 2x = 66 + 0 10 + 2x = 66 Add '-10' to each side of the equation. 10 + -10 + 2x = 66 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 66 + -10 2x = 66 + -10 Combine like terms: 66 + -10 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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