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Simplifying -4(x + 3) + 5(x + -1) = -18 Reorder the terms: -4(3 + x) + 5(x + -1) = -18 (3 * -4 + x * -4) + 5(x + -1) = -18 (-12 + -4x) + 5(x + -1) = -18 Reorder the terms: -12 + -4x + 5(-1 + x) = -18 -12 + -4x + (-1 * 5 + x * 5) = -18 -12 + -4x + (-5 + 5x) = -18 Reorder the terms: -12 + -5 + -4x + 5x = -18 Combine like terms: -12 + -5 = -17 -17 + -4x + 5x = -18 Combine like terms: -4x + 5x = 1x -17 + 1x = -18 Solving -17 + 1x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1x = -18 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -18 + 17 1x = -18 + 17 Combine like terms: -18 + 17 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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