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