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Simplifying 3(4x + 5) = 4(2x + -5) Reorder the terms: 3(5 + 4x) = 4(2x + -5) (5 * 3 + 4x * 3) = 4(2x + -5) (15 + 12x) = 4(2x + -5) Reorder the terms: 15 + 12x = 4(-5 + 2x) 15 + 12x = (-5 * 4 + 2x * 4) 15 + 12x = (-20 + 8x) Solving 15 + 12x = -20 + 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 = -20 + 8x + -8x Combine like terms: 12x + -8x = 4x 15 + 4x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 4x = -20 + 0 15 + 4x = -20 Add '-15' to each side of the equation. 15 + -15 + 4x = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -20 + -15 4x = -20 + -15 Combine like terms: -20 + -15 = -35 4x = -35 Divide each side by '4'. x = -8.75 Simplifying x = -8.75
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