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Simplifying 6x + 2 + -2(-6x + -1) = 2(x + -5) Reorder the terms: 6x + 2 + -2(-1 + -6x) = 2(x + -5) 6x + 2 + (-1 * -2 + -6x * -2) = 2(x + -5) 6x + 2 + (2 + 12x) = 2(x + -5) Reorder the terms: 2 + 2 + 6x + 12x = 2(x + -5) Combine like terms: 2 + 2 = 4 4 + 6x + 12x = 2(x + -5) Combine like terms: 6x + 12x = 18x 4 + 18x = 2(x + -5) Reorder the terms: 4 + 18x = 2(-5 + x) 4 + 18x = (-5 * 2 + x * 2) 4 + 18x = (-10 + 2x) Solving 4 + 18x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 18x + -2x = -10 + 2x + -2x Combine like terms: 18x + -2x = 16x 4 + 16x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 16x = -10 + 0 4 + 16x = -10 Add '-4' to each side of the equation. 4 + -4 + 16x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = -10 + -4 16x = -10 + -4 Combine like terms: -10 + -4 = -14 16x = -14 Divide each side by '16'. x = -0.875 Simplifying x = -0.875
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