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Simplifying 6(x + -2) = 2 + -2(5x + 5) Reorder the terms: 6(-2 + x) = 2 + -2(5x + 5) (-2 * 6 + x * 6) = 2 + -2(5x + 5) (-12 + 6x) = 2 + -2(5x + 5) Reorder the terms: -12 + 6x = 2 + -2(5 + 5x) -12 + 6x = 2 + (5 * -2 + 5x * -2) -12 + 6x = 2 + (-10 + -10x) Combine like terms: 2 + -10 = -8 -12 + 6x = -8 + -10x Solving -12 + 6x = -8 + -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 + 6x + 10x = -8 + -10x + 10x Combine like terms: 6x + 10x = 16x -12 + 16x = -8 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 16x = -8 + 0 -12 + 16x = -8 Add '12' to each side of the equation. -12 + 12 + 16x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = -8 + 12 16x = -8 + 12 Combine like terms: -8 + 12 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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