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Simplifying 7(2x + 4) + -5(x + -10) = 60 Reorder the terms: 7(4 + 2x) + -5(x + -10) = 60 (4 * 7 + 2x * 7) + -5(x + -10) = 60 (28 + 14x) + -5(x + -10) = 60 Reorder the terms: 28 + 14x + -5(-10 + x) = 60 28 + 14x + (-10 * -5 + x * -5) = 60 28 + 14x + (50 + -5x) = 60 Reorder the terms: 28 + 50 + 14x + -5x = 60 Combine like terms: 28 + 50 = 78 78 + 14x + -5x = 60 Combine like terms: 14x + -5x = 9x 78 + 9x = 60 Solving 78 + 9x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 9x = 60 + -78 Combine like terms: 78 + -78 = 0 0 + 9x = 60 + -78 9x = 60 + -78 Combine like terms: 60 + -78 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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