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Simplifying 2(5x + 2) + -3(x + -2) = 59 Reorder the terms: 2(2 + 5x) + -3(x + -2) = 59 (2 * 2 + 5x * 2) + -3(x + -2) = 59 (4 + 10x) + -3(x + -2) = 59 Reorder the terms: 4 + 10x + -3(-2 + x) = 59 4 + 10x + (-2 * -3 + x * -3) = 59 4 + 10x + (6 + -3x) = 59 Reorder the terms: 4 + 6 + 10x + -3x = 59 Combine like terms: 4 + 6 = 10 10 + 10x + -3x = 59 Combine like terms: 10x + -3x = 7x 10 + 7x = 59 Solving 10 + 7x = 59 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 59 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 59 + -10 7x = 59 + -10 Combine like terms: 59 + -10 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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