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Simplifying 4(3x + 5) = 3(5x + -1) Reorder the terms: 4(5 + 3x) = 3(5x + -1) (5 * 4 + 3x * 4) = 3(5x + -1) (20 + 12x) = 3(5x + -1) Reorder the terms: 20 + 12x = 3(-1 + 5x) 20 + 12x = (-1 * 3 + 5x * 3) 20 + 12x = (-3 + 15x) Solving 20 + 12x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 12x + -15x = -3 + 15x + -15x Combine like terms: 12x + -15x = -3x 20 + -3x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -3x = -3 + 0 20 + -3x = -3 Add '-20' to each side of the equation. 20 + -20 + -3x = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = -3 + -20 -3x = -3 + -20 Combine like terms: -3 + -20 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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