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Simplifying -2(x + 6) + 2 = -4 + -1(10 + -2x) Reorder the terms: -2(6 + x) + 2 = -4 + -1(10 + -2x) (6 * -2 + x * -2) + 2 = -4 + -1(10 + -2x) (-12 + -2x) + 2 = -4 + -1(10 + -2x) Reorder the terms: -12 + 2 + -2x = -4 + -1(10 + -2x) Combine like terms: -12 + 2 = -10 -10 + -2x = -4 + -1(10 + -2x) -10 + -2x = -4 + (10 * -1 + -2x * -1) -10 + -2x = -4 + (-10 + 2x) Combine like terms: -4 + -10 = -14 -10 + -2x = -14 + 2x Solving -10 + -2x = -14 + 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. -10 + -2x + -2x = -14 + 2x + -2x Combine like terms: -2x + -2x = -4x -10 + -4x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -4x = -14 + 0 -10 + -4x = -14 Add '10' to each side of the equation. -10 + 10 + -4x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -14 + 10 -4x = -14 + 10 Combine like terms: -14 + 10 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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