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Simplifying 4(3x + -5) = 5(3x + 2) Reorder the terms: 4(-5 + 3x) = 5(3x + 2) (-5 * 4 + 3x * 4) = 5(3x + 2) (-20 + 12x) = 5(3x + 2) Reorder the terms: -20 + 12x = 5(2 + 3x) -20 + 12x = (2 * 5 + 3x * 5) -20 + 12x = (10 + 15x) Solving -20 + 12x = 10 + 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 = 10 + 15x + -15x Combine like terms: 12x + -15x = -3x -20 + -3x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + -3x = 10 + 0 -20 + -3x = 10 Add '20' to each side of the equation. -20 + 20 + -3x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 10 + 20 -3x = 10 + 20 Combine like terms: 10 + 20 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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