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Simplifying 6x + 10 + -8 = 87 + -1(21 + 10x) Reorder the terms: 10 + -8 + 6x = 87 + -1(21 + 10x) Combine like terms: 10 + -8 = 2 2 + 6x = 87 + -1(21 + 10x) 2 + 6x = 87 + (21 * -1 + 10x * -1) 2 + 6x = 87 + (-21 + -10x) Combine like terms: 87 + -21 = 66 2 + 6x = 66 + -10x Solving 2 + 6x = 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. 2 + 6x + 10x = 66 + -10x + 10x Combine like terms: 6x + 10x = 16x 2 + 16x = 66 + -10x + 10x Combine like terms: -10x + 10x = 0 2 + 16x = 66 + 0 2 + 16x = 66 Add '-2' to each side of the equation. 2 + -2 + 16x = 66 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 66 + -2 16x = 66 + -2 Combine like terms: 66 + -2 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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