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Simplifying 8(7 + 2x) + -3(8 + -5x) = 7 + 5x + 19 (7 * 8 + 2x * 8) + -3(8 + -5x) = 7 + 5x + 19 (56 + 16x) + -3(8 + -5x) = 7 + 5x + 19 56 + 16x + (8 * -3 + -5x * -3) = 7 + 5x + 19 56 + 16x + (-24 + 15x) = 7 + 5x + 19 Reorder the terms: 56 + -24 + 16x + 15x = 7 + 5x + 19 Combine like terms: 56 + -24 = 32 32 + 16x + 15x = 7 + 5x + 19 Combine like terms: 16x + 15x = 31x 32 + 31x = 7 + 5x + 19 Reorder the terms: 32 + 31x = 7 + 19 + 5x Combine like terms: 7 + 19 = 26 32 + 31x = 26 + 5x Solving 32 + 31x = 26 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 31x + -5x = 26 + 5x + -5x Combine like terms: 31x + -5x = 26x 32 + 26x = 26 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 26x = 26 + 0 32 + 26x = 26 Add '-32' to each side of the equation. 32 + -32 + 26x = 26 + -32 Combine like terms: 32 + -32 = 0 0 + 26x = 26 + -32 26x = 26 + -32 Combine like terms: 26 + -32 = -6 26x = -6 Divide each side by '26'. x = -0.2307692308 Simplifying x = -0.2307692308
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