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Simplifying 5(2x + 4) = 85 + -3x Reorder the terms: 5(4 + 2x) = 85 + -3x (4 * 5 + 2x * 5) = 85 + -3x (20 + 10x) = 85 + -3x Solving 20 + 10x = 85 + -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 = 85 + -3x + 3x Combine like terms: 10x + 3x = 13x 20 + 13x = 85 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 13x = 85 + 0 20 + 13x = 85 Add '-20' to each side of the equation. 20 + -20 + 13x = 85 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 85 + -20 13x = 85 + -20 Combine like terms: 85 + -20 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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