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Simplifying 3(4x + 5) = -8x + 55 Reorder the terms: 3(5 + 4x) = -8x + 55 (5 * 3 + 4x * 3) = -8x + 55 (15 + 12x) = -8x + 55 Reorder the terms: 15 + 12x = 55 + -8x Solving 15 + 12x = 55 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + 12x + 8x = 55 + -8x + 8x Combine like terms: 12x + 8x = 20x 15 + 20x = 55 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 20x = 55 + 0 15 + 20x = 55 Add '-15' to each side of the equation. 15 + -15 + 20x = 55 + -15 Combine like terms: 15 + -15 = 0 0 + 20x = 55 + -15 20x = 55 + -15 Combine like terms: 55 + -15 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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