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Simplifying 4(3x + 5) = 2(24 + -1x) Reorder the terms: 4(5 + 3x) = 2(24 + -1x) (5 * 4 + 3x * 4) = 2(24 + -1x) (20 + 12x) = 2(24 + -1x) 20 + 12x = (24 * 2 + -1x * 2) 20 + 12x = (48 + -2x) Solving 20 + 12x = 48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 20 + 12x + 2x = 48 + -2x + 2x Combine like terms: 12x + 2x = 14x 20 + 14x = 48 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 14x = 48 + 0 20 + 14x = 48 Add '-20' to each side of the equation. 20 + -20 + 14x = 48 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 48 + -20 14x = 48 + -20 Combine like terms: 48 + -20 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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