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