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Simplifying 5(x + 7) = 10(2x + -5) Reorder the terms: 5(7 + x) = 10(2x + -5) (7 * 5 + x * 5) = 10(2x + -5) (35 + 5x) = 10(2x + -5) Reorder the terms: 35 + 5x = 10(-5 + 2x) 35 + 5x = (-5 * 10 + 2x * 10) 35 + 5x = (-50 + 20x) Solving 35 + 5x = -50 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 35 + 5x + -20x = -50 + 20x + -20x Combine like terms: 5x + -20x = -15x 35 + -15x = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 35 + -15x = -50 + 0 35 + -15x = -50 Add '-35' to each side of the equation. 35 + -35 + -15x = -50 + -35 Combine like terms: 35 + -35 = 0 0 + -15x = -50 + -35 -15x = -50 + -35 Combine like terms: -50 + -35 = -85 -15x = -85 Divide each side by '-15'. x = 5.666666667 Simplifying x = 5.666666667
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