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