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