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Simplifying 5(6 + -3x) = 5(3x + -6) (6 * 5 + -3x * 5) = 5(3x + -6) (30 + -15x) = 5(3x + -6) Reorder the terms: 30 + -15x = 5(-6 + 3x) 30 + -15x = (-6 * 5 + 3x * 5) 30 + -15x = (-30 + 15x) Solving 30 + -15x = -30 + 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. 30 + -15x + -15x = -30 + 15x + -15x Combine like terms: -15x + -15x = -30x 30 + -30x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -30x = -30 + 0 30 + -30x = -30 Add '-30' to each side of the equation. 30 + -30 + -30x = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -30x = -30 + -30 -30x = -30 + -30 Combine like terms: -30 + -30 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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