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Simplifying 5(x + -10) + 7(x + 20) = 57 Reorder the terms: 5(-10 + x) + 7(x + 20) = 57 (-10 * 5 + x * 5) + 7(x + 20) = 57 (-50 + 5x) + 7(x + 20) = 57 Reorder the terms: -50 + 5x + 7(20 + x) = 57 -50 + 5x + (20 * 7 + x * 7) = 57 -50 + 5x + (140 + 7x) = 57 Reorder the terms: -50 + 140 + 5x + 7x = 57 Combine like terms: -50 + 140 = 90 90 + 5x + 7x = 57 Combine like terms: 5x + 7x = 12x 90 + 12x = 57 Solving 90 + 12x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 12x = 57 + -90 Combine like terms: 90 + -90 = 0 0 + 12x = 57 + -90 12x = 57 + -90 Combine like terms: 57 + -90 = -33 12x = -33 Divide each side by '12'. x = -2.75 Simplifying x = -2.75
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