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Simplifying 5(2x + 4) = 3(x + -5) Reorder the terms: 5(4 + 2x) = 3(x + -5) (4 * 5 + 2x * 5) = 3(x + -5) (20 + 10x) = 3(x + -5) Reorder the terms: 20 + 10x = 3(-5 + x) 20 + 10x = (-5 * 3 + x * 3) 20 + 10x = (-15 + 3x) Solving 20 + 10x = -15 + 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. 20 + 10x + -3x = -15 + 3x + -3x Combine like terms: 10x + -3x = 7x 20 + 7x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 7x = -15 + 0 20 + 7x = -15 Add '-20' to each side of the equation. 20 + -20 + 7x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = -15 + -20 7x = -15 + -20 Combine like terms: -15 + -20 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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