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Simplifying x + 2(x + -2) = 10(x + -1) + -11x + -2 Reorder the terms: x + 2(-2 + x) = 10(x + -1) + -11x + -2 x + (-2 * 2 + x * 2) = 10(x + -1) + -11x + -2 x + (-4 + 2x) = 10(x + -1) + -11x + -2 Reorder the terms: -4 + x + 2x = 10(x + -1) + -11x + -2 Combine like terms: x + 2x = 3x -4 + 3x = 10(x + -1) + -11x + -2 Reorder the terms: -4 + 3x = 10(-1 + x) + -11x + -2 -4 + 3x = (-1 * 10 + x * 10) + -11x + -2 -4 + 3x = (-10 + 10x) + -11x + -2 Reorder the terms: -4 + 3x = -10 + -2 + 10x + -11x Combine like terms: -10 + -2 = -12 -4 + 3x = -12 + 10x + -11x Combine like terms: 10x + -11x = -1x -4 + 3x = -12 + -1x Solving -4 + 3x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 3x + x = -12 + -1x + x Combine like terms: 3x + x = 4x -4 + 4x = -12 + -1x + x Combine like terms: -1x + x = 0 -4 + 4x = -12 + 0 -4 + 4x = -12 Add '4' to each side of the equation. -4 + 4 + 4x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -12 + 4 4x = -12 + 4 Combine like terms: -12 + 4 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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