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Simplifying -4x + 5x + -4 + 8 = 6x + -4x + -5 Reorder the terms: -4 + 8 + -4x + 5x = 6x + -4x + -5 Combine like terms: -4 + 8 = 4 4 + -4x + 5x = 6x + -4x + -5 Combine like terms: -4x + 5x = 1x 4 + 1x = 6x + -4x + -5 Reorder the terms: 4 + 1x = -5 + 6x + -4x Combine like terms: 6x + -4x = 2x 4 + 1x = -5 + 2x Solving 4 + 1x = -5 + 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. 4 + 1x + -2x = -5 + 2x + -2x Combine like terms: 1x + -2x = -1x 4 + -1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1x = -5 + 0 4 + -1x = -5 Add '-4' to each side of the equation. 4 + -4 + -1x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -5 + -4 -1x = -5 + -4 Combine like terms: -5 + -4 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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