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Simplifying 5(x + 2) + 2(x + -1) = 130 Reorder the terms: 5(2 + x) + 2(x + -1) = 130 (2 * 5 + x * 5) + 2(x + -1) = 130 (10 + 5x) + 2(x + -1) = 130 Reorder the terms: 10 + 5x + 2(-1 + x) = 130 10 + 5x + (-1 * 2 + x * 2) = 130 10 + 5x + (-2 + 2x) = 130 Reorder the terms: 10 + -2 + 5x + 2x = 130 Combine like terms: 10 + -2 = 8 8 + 5x + 2x = 130 Combine like terms: 5x + 2x = 7x 8 + 7x = 130 Solving 8 + 7x = 130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 130 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 130 + -8 7x = 130 + -8 Combine like terms: 130 + -8 = 122 7x = 122 Divide each side by '7'. x = 17.42857143 Simplifying x = 17.42857143
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