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Simplifying 6x + -1(8x + -10) = 87 + -1(21 + 10x) Reorder the terms: 6x + -1(-10 + 8x) = 87 + -1(21 + 10x) 6x + (-10 * -1 + 8x * -1) = 87 + -1(21 + 10x) 6x + (10 + -8x) = 87 + -1(21 + 10x) Reorder the terms: 10 + 6x + -8x = 87 + -1(21 + 10x) Combine like terms: 6x + -8x = -2x 10 + -2x = 87 + -1(21 + 10x) 10 + -2x = 87 + (21 * -1 + 10x * -1) 10 + -2x = 87 + (-21 + -10x) Combine like terms: 87 + -21 = 66 10 + -2x = 66 + -10x Solving 10 + -2x = 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 + -2x + 10x = 66 + -10x + 10x Combine like terms: -2x + 10x = 8x 10 + 8x = 66 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + 8x = 66 + 0 10 + 8x = 66 Add '-10' to each side of the equation. 10 + -10 + 8x = 66 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 66 + -10 8x = 66 + -10 Combine like terms: 66 + -10 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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