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