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Simplifying 14 = -3(24 + -1x) + 2(x + -2) 14 = (24 * -3 + -1x * -3) + 2(x + -2) 14 = (-72 + 3x) + 2(x + -2) Reorder the terms: 14 = -72 + 3x + 2(-2 + x) 14 = -72 + 3x + (-2 * 2 + x * 2) 14 = -72 + 3x + (-4 + 2x) Reorder the terms: 14 = -72 + -4 + 3x + 2x Combine like terms: -72 + -4 = -76 14 = -76 + 3x + 2x Combine like terms: 3x + 2x = 5x 14 = -76 + 5x Solving 14 = -76 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -5x = -76 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -5x = -76 + 0 14 + -5x = -76 Add '-14' to each side of the equation. 14 + -14 + -5x = -76 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -76 + -14 -5x = -76 + -14 Combine like terms: -76 + -14 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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