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Simplifying -6x + 2x + 9 = 2x + 4 + -1x Reorder the terms: 9 + -6x + 2x = 2x + 4 + -1x Combine like terms: -6x + 2x = -4x 9 + -4x = 2x + 4 + -1x Reorder the terms: 9 + -4x = 4 + 2x + -1x Combine like terms: 2x + -1x = 1x 9 + -4x = 4 + 1x Solving 9 + -4x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -4x + -1x = 4 + 1x + -1x Combine like terms: -4x + -1x = -5x 9 + -5x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 9 + -5x = 4 + 0 9 + -5x = 4 Add '-9' to each side of the equation. 9 + -9 + -5x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 4 + -9 -5x = 4 + -9 Combine like terms: 4 + -9 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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