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Simplifying 8(3 + -1x) + -2(x + 1) = -10 (3 * 8 + -1x * 8) + -2(x + 1) = -10 (24 + -8x) + -2(x + 1) = -10 Reorder the terms: 24 + -8x + -2(1 + x) = -10 24 + -8x + (1 * -2 + x * -2) = -10 24 + -8x + (-2 + -2x) = -10 Reorder the terms: 24 + -2 + -8x + -2x = -10 Combine like terms: 24 + -2 = 22 22 + -8x + -2x = -10 Combine like terms: -8x + -2x = -10x 22 + -10x = -10 Solving 22 + -10x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -10x = -10 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = -10 + -22 -10x = -10 + -22 Combine like terms: -10 + -22 = -32 -10x = -32 Divide each side by '-10'. x = 3.2 Simplifying x = 3.2
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