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Simplifying 6(1 + -2x) + 2(x + 5) = -24 (1 * 6 + -2x * 6) + 2(x + 5) = -24 (6 + -12x) + 2(x + 5) = -24 Reorder the terms: 6 + -12x + 2(5 + x) = -24 6 + -12x + (5 * 2 + x * 2) = -24 6 + -12x + (10 + 2x) = -24 Reorder the terms: 6 + 10 + -12x + 2x = -24 Combine like terms: 6 + 10 = 16 16 + -12x + 2x = -24 Combine like terms: -12x + 2x = -10x 16 + -10x = -24 Solving 16 + -10x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -10x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -24 + -16 -10x = -24 + -16 Combine like terms: -24 + -16 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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