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Simplifying 3(5 + -4x) + 5 = 4(2x + -5) (5 * 3 + -4x * 3) + 5 = 4(2x + -5) (15 + -12x) + 5 = 4(2x + -5) Reorder the terms: 15 + 5 + -12x = 4(2x + -5) Combine like terms: 15 + 5 = 20 20 + -12x = 4(2x + -5) Reorder the terms: 20 + -12x = 4(-5 + 2x) 20 + -12x = (-5 * 4 + 2x * 4) 20 + -12x = (-20 + 8x) Solving 20 + -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. 20 + -12x + -8x = -20 + 8x + -8x Combine like terms: -12x + -8x = -20x 20 + -20x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -20x = -20 + 0 20 + -20x = -20 Add '-20' to each side of the equation. 20 + -20 + -20x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -20x = -20 + -20 -20x = -20 + -20 Combine like terms: -20 + -20 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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