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Simplifying 5(3x + -6) = 15(2 + -1x) Reorder the terms: 5(-6 + 3x) = 15(2 + -1x) (-6 * 5 + 3x * 5) = 15(2 + -1x) (-30 + 15x) = 15(2 + -1x) -30 + 15x = (2 * 15 + -1x * 15) -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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