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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 = 26 26 + -8x + 2x = -10 Combine like terms: -8x + 2x = -6x 26 + -6x = -10 Solving 26 + -6x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -6x = -10 + -26 Combine like terms: 26 + -26 = 0 0 + -6x = -10 + -26 -6x = -10 + -26 Combine like terms: -10 + -26 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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