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Simplifying 3(x + 5) = 3 + 2x Reorder the terms: 3(5 + x) = 3 + 2x (5 * 3 + x * 3) = 3 + 2x (15 + 3x) = 3 + 2x Solving 15 + 3x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x = 3 + 0 15 + 1x = 3 Add '-15' to each side of the equation. 15 + -15 + 1x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 3 + -15 1x = 3 + -15 Combine like terms: 3 + -15 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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