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Simplifying 5(x + 2) + -3(2x + 1) = 0 Reorder the terms: 5(2 + x) + -3(2x + 1) = 0 (2 * 5 + x * 5) + -3(2x + 1) = 0 (10 + 5x) + -3(2x + 1) = 0 Reorder the terms: 10 + 5x + -3(1 + 2x) = 0 10 + 5x + (1 * -3 + 2x * -3) = 0 10 + 5x + (-3 + -6x) = 0 Reorder the terms: 10 + -3 + 5x + -6x = 0 Combine like terms: 10 + -3 = 7 7 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x 7 + -1x = 0 Solving 7 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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