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Simplifying 3(x + 6) + 6 = 5x + -6 Reorder the terms: 3(6 + x) + 6 = 5x + -6 (6 * 3 + x * 3) + 6 = 5x + -6 (18 + 3x) + 6 = 5x + -6 Reorder the terms: 18 + 6 + 3x = 5x + -6 Combine like terms: 18 + 6 = 24 24 + 3x = 5x + -6 Reorder the terms: 24 + 3x = -6 + 5x Solving 24 + 3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x 24 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -2x = -6 + 0 24 + -2x = -6 Add '-24' to each side of the equation. 24 + -24 + -2x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -6 + -24 -2x = -6 + -24 Combine like terms: -6 + -24 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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