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Simplifying 4 + -4x = 5x + -4(2x + -2) Reorder the terms: 4 + -4x = 5x + -4(-2 + 2x) 4 + -4x = 5x + (-2 * -4 + 2x * -4) 4 + -4x = 5x + (8 + -8x) Reorder the terms: 4 + -4x = 8 + 5x + -8x Combine like terms: 5x + -8x = -3x 4 + -4x = 8 + -3x Solving 4 + -4x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + -4x + 3x = 8 + -3x + 3x Combine like terms: -4x + 3x = -1x 4 + -1x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -1x = 8 + 0 4 + -1x = 8 Add '-4' to each side of the equation. 4 + -4 + -1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 8 + -4 -1x = 8 + -4 Combine like terms: 8 + -4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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