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Simplifying 2(2x + -1) + -10 = -2(1 + -1x) Reorder the terms: 2(-1 + 2x) + -10 = -2(1 + -1x) (-1 * 2 + 2x * 2) + -10 = -2(1 + -1x) (-2 + 4x) + -10 = -2(1 + -1x) Reorder the terms: -2 + -10 + 4x = -2(1 + -1x) Combine like terms: -2 + -10 = -12 -12 + 4x = -2(1 + -1x) -12 + 4x = (1 * -2 + -1x * -2) -12 + 4x = (-2 + 2x) Solving -12 + 4x = -2 + 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. -12 + 4x + -2x = -2 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = -2 + 0 -12 + 2x = -2 Add '12' to each side of the equation. -12 + 12 + 2x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -2 + 12 2x = -2 + 12 Combine like terms: -2 + 12 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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