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Simplifying 24 + -2x = 20(2x + -3) Reorder the terms: 24 + -2x = 20(-3 + 2x) 24 + -2x = (-3 * 20 + 2x * 20) 24 + -2x = (-60 + 40x) Solving 24 + -2x = -60 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 24 + -2x + -40x = -60 + 40x + -40x Combine like terms: -2x + -40x = -42x 24 + -42x = -60 + 40x + -40x Combine like terms: 40x + -40x = 0 24 + -42x = -60 + 0 24 + -42x = -60 Add '-24' to each side of the equation. 24 + -24 + -42x = -60 + -24 Combine like terms: 24 + -24 = 0 0 + -42x = -60 + -24 -42x = -60 + -24 Combine like terms: -60 + -24 = -84 -42x = -84 Divide each side by '-42'. x = 2 Simplifying x = 2
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