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Simplifying 4(x + -2x + -2) + -2 * 2(x + -1) = 4 Reorder the terms: 4(-2 + x + -2x) + -2 * 2(x + -1) = 4 Combine like terms: x + -2x = -1x 4(-2 + -1x) + -2 * 2(x + -1) = 4 (-2 * 4 + -1x * 4) + -2 * 2(x + -1) = 4 (-8 + -4x) + -2 * 2(x + -1) = 4 Reorder the terms: -8 + -4x + -2 * 2(-1 + x) = 4 Multiply -2 * 2 -8 + -4x + -4(-1 + x) = 4 -8 + -4x + (-1 * -4 + x * -4) = 4 -8 + -4x + (4 + -4x) = 4 Reorder the terms: -8 + 4 + -4x + -4x = 4 Combine like terms: -8 + 4 = -4 -4 + -4x + -4x = 4 Combine like terms: -4x + -4x = -8x -4 + -8x = 4 Solving -4 + -8x = 4 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 + 4 + -8x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 4 + 4 -8x = 4 + 4 Combine like terms: 4 + 4 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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