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Simplifying 5x + 2 = 3(2x + 3) Reorder the terms: 2 + 5x = 3(2x + 3) Reorder the terms: 2 + 5x = 3(3 + 2x) 2 + 5x = (3 * 3 + 2x * 3) 2 + 5x = (9 + 6x) Solving 2 + 5x = 9 + 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. 2 + 5x + -6x = 9 + 6x + -6x Combine like terms: 5x + -6x = -1x 2 + -1x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -1x = 9 + 0 2 + -1x = 9 Add '-2' to each side of the equation. 2 + -2 + -1x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 9 + -2 -1x = 9 + -2 Combine like terms: 9 + -2 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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