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Simplifying 3(x + 5) = x + 6 Reorder the terms: 3(5 + x) = x + 6 (5 * 3 + x * 3) = x + 6 (15 + 3x) = x + 6 Reorder the terms: 15 + 3x = 6 + x Solving 15 + 3x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 3x + -1x = 6 + x + -1x Combine like terms: 3x + -1x = 2x 15 + 2x = 6 + x + -1x Combine like terms: x + -1x = 0 15 + 2x = 6 + 0 15 + 2x = 6 Add '-15' to each side of the equation. 15 + -15 + 2x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 6 + -15 2x = 6 + -15 Combine like terms: 6 + -15 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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