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