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Simplifying 5 + 2x + -4 = 9x + 8 + -6x Reorder the terms: 5 + -4 + 2x = 9x + 8 + -6x Combine like terms: 5 + -4 = 1 1 + 2x = 9x + 8 + -6x Reorder the terms: 1 + 2x = 8 + 9x + -6x Combine like terms: 9x + -6x = 3x 1 + 2x = 8 + 3x Solving 1 + 2x = 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. 1 + 2x + -3x = 8 + 3x + -3x Combine like terms: 2x + -3x = -1x 1 + -1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -1x = 8 + 0 1 + -1x = 8 Add '-1' to each side of the equation. 1 + -1 + -1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 8 + -1 -1x = 8 + -1 Combine like terms: 8 + -1 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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