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Simplifying 15(2x + -2) = 5(x + -6) Reorder the terms: 15(-2 + 2x) = 5(x + -6) (-2 * 15 + 2x * 15) = 5(x + -6) (-30 + 30x) = 5(x + -6) Reorder the terms: -30 + 30x = 5(-6 + x) -30 + 30x = (-6 * 5 + x * 5) -30 + 30x = (-30 + 5x) Add '30' to each side of the equation. -30 + 30 + 30x = -30 + 30 + 5x Combine like terms: -30 + 30 = 0 0 + 30x = -30 + 30 + 5x 30x = -30 + 30 + 5x Combine like terms: -30 + 30 = 0 30x = 0 + 5x 30x = 5x Solving 30x = 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. 30x + -5x = 5x + -5x Combine like terms: 30x + -5x = 25x 25x = 5x + -5x Combine like terms: 5x + -5x = 0 25x = 0 Divide each side by '25'. x = 0 Simplifying x = 0
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