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Simplifying 3(x + -2) + 5(x + 4) = -18 Reorder the terms: 3(-2 + x) + 5(x + 4) = -18 (-2 * 3 + x * 3) + 5(x + 4) = -18 (-6 + 3x) + 5(x + 4) = -18 Reorder the terms: -6 + 3x + 5(4 + x) = -18 -6 + 3x + (4 * 5 + x * 5) = -18 -6 + 3x + (20 + 5x) = -18 Reorder the terms: -6 + 20 + 3x + 5x = -18 Combine like terms: -6 + 20 = 14 14 + 3x + 5x = -18 Combine like terms: 3x + 5x = 8x 14 + 8x = -18 Solving 14 + 8x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -18 + -14 8x = -18 + -14 Combine like terms: -18 + -14 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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