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Simplifying 5(3x + 6) = 12 + -3(x + -6) Reorder the terms: 5(6 + 3x) = 12 + -3(x + -6) (6 * 5 + 3x * 5) = 12 + -3(x + -6) (30 + 15x) = 12 + -3(x + -6) Reorder the terms: 30 + 15x = 12 + -3(-6 + x) 30 + 15x = 12 + (-6 * -3 + x * -3) 30 + 15x = 12 + (18 + -3x) Combine like terms: 12 + 18 = 30 30 + 15x = 30 + -3x Add '-30' to each side of the equation. 30 + -30 + 15x = 30 + -30 + -3x Combine like terms: 30 + -30 = 0 0 + 15x = 30 + -30 + -3x 15x = 30 + -30 + -3x Combine like terms: 30 + -30 = 0 15x = 0 + -3x 15x = -3x Solving 15x = -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. 15x + 3x = -3x + 3x Combine like terms: 15x + 3x = 18x 18x = -3x + 3x Combine like terms: -3x + 3x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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