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