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