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Simplifying 4(x + 8) + -1(8 + -7x) = 10x Reorder the terms: 4(8 + x) + -1(8 + -7x) = 10x (8 * 4 + x * 4) + -1(8 + -7x) = 10x (32 + 4x) + -1(8 + -7x) = 10x 32 + 4x + (8 * -1 + -7x * -1) = 10x 32 + 4x + (-8 + 7x) = 10x Reorder the terms: 32 + -8 + 4x + 7x = 10x Combine like terms: 32 + -8 = 24 24 + 4x + 7x = 10x Combine like terms: 4x + 7x = 11x 24 + 11x = 10x Solving 24 + 11x = 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. 24 + 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 24 + 1x = 10x + -10x Combine like terms: 10x + -10x = 0 24 + 1x = 0 Add '-24' to each side of the equation. 24 + -24 + 1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 0 + -24 1x = 0 + -24 Combine like terms: 0 + -24 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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