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Simplifying 6(3x + 6) = 3(5x + -2) Reorder the terms: 6(6 + 3x) = 3(5x + -2) (6 * 6 + 3x * 6) = 3(5x + -2) (36 + 18x) = 3(5x + -2) Reorder the terms: 36 + 18x = 3(-2 + 5x) 36 + 18x = (-2 * 3 + 5x * 3) 36 + 18x = (-6 + 15x) Solving 36 + 18x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 36 + 18x + -15x = -6 + 15x + -15x Combine like terms: 18x + -15x = 3x 36 + 3x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 36 + 3x = -6 + 0 36 + 3x = -6 Add '-36' to each side of the equation. 36 + -36 + 3x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = -6 + -36 3x = -6 + -36 Combine like terms: -6 + -36 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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