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Simplifying 3(x + -2) + 12(x + 1) = -24 Reorder the terms: 3(-2 + x) + 12(x + 1) = -24 (-2 * 3 + x * 3) + 12(x + 1) = -24 (-6 + 3x) + 12(x + 1) = -24 Reorder the terms: -6 + 3x + 12(1 + x) = -24 -6 + 3x + (1 * 12 + x * 12) = -24 -6 + 3x + (12 + 12x) = -24 Reorder the terms: -6 + 12 + 3x + 12x = -24 Combine like terms: -6 + 12 = 6 6 + 3x + 12x = -24 Combine like terms: 3x + 12x = 15x 6 + 15x = -24 Solving 6 + 15x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = -24 + -6 15x = -24 + -6 Combine like terms: -24 + -6 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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