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Simplifying x + 2 + -4x + -8 = 4 + -1x(2) Reorder the terms: 2 + -8 + x + -4x = 4 + -1x(2) Combine like terms: 2 + -8 = -6 -6 + x + -4x = 4 + -1x(2) Combine like terms: x + -4x = -3x -6 + -3x = 4 + -1x(2) Reorder the terms for easier multiplication: -6 + -3x = 4 + -1 * 2x Multiply -1 * 2 -6 + -3x = 4 + -2x Solving -6 + -3x = 4 + -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. -6 + -3x + 2x = 4 + -2x + 2x Combine like terms: -3x + 2x = -1x -6 + -1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -1x = 4 + 0 -6 + -1x = 4 Add '6' to each side of the equation. -6 + 6 + -1x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 4 + 6 -1x = 4 + 6 Combine like terms: 4 + 6 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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