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Simplifying 3x + -5(4x + -24) = -18 Reorder the terms: 3x + -5(-24 + 4x) = -18 3x + (-24 * -5 + 4x * -5) = -18 3x + (120 + -20x) = -18 Reorder the terms: 120 + 3x + -20x = -18 Combine like terms: 3x + -20x = -17x 120 + -17x = -18 Solving 120 + -17x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -17x = -18 + -120 Combine like terms: 120 + -120 = 0 0 + -17x = -18 + -120 -17x = -18 + -120 Combine like terms: -18 + -120 = -138 -17x = -138 Divide each side by '-17'. x = 8.117647059 Simplifying x = 8.117647059
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