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Simplifying 5(3x + 2) + -7(2x + 1) = 12 Reorder the terms: 5(2 + 3x) + -7(2x + 1) = 12 (2 * 5 + 3x * 5) + -7(2x + 1) = 12 (10 + 15x) + -7(2x + 1) = 12 Reorder the terms: 10 + 15x + -7(1 + 2x) = 12 10 + 15x + (1 * -7 + 2x * -7) = 12 10 + 15x + (-7 + -14x) = 12 Reorder the terms: 10 + -7 + 15x + -14x = 12 Combine like terms: 10 + -7 = 3 3 + 15x + -14x = 12 Combine like terms: 15x + -14x = 1x 3 + 1x = 12 Solving 3 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 12 + -3 1x = 12 + -3 Combine like terms: 12 + -3 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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