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Simplifying 2(x + -6) = -2(5x + -15) Reorder the terms: 2(-6 + x) = -2(5x + -15) (-6 * 2 + x * 2) = -2(5x + -15) (-12 + 2x) = -2(5x + -15) Reorder the terms: -12 + 2x = -2(-15 + 5x) -12 + 2x = (-15 * -2 + 5x * -2) -12 + 2x = (30 + -10x) Solving -12 + 2x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 2x + 10x = 30 + -10x + 10x Combine like terms: 2x + 10x = 12x -12 + 12x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 12x = 30 + 0 -12 + 12x = 30 Add '12' to each side of the equation. -12 + 12 + 12x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 30 + 12 12x = 30 + 12 Combine like terms: 30 + 12 = 42 12x = 42 Divide each side by '12'. x = 3.5 Simplifying x = 3.5
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