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Simplifying 3x + -2x + 5 + -1 = 4x + 3 + -1x + -4 Reorder the terms: 5 + -1 + 3x + -2x = 4x + 3 + -1x + -4 Combine like terms: 5 + -1 = 4 4 + 3x + -2x = 4x + 3 + -1x + -4 Combine like terms: 3x + -2x = 1x 4 + 1x = 4x + 3 + -1x + -4 Reorder the terms: 4 + 1x = 3 + -4 + 4x + -1x Combine like terms: 3 + -4 = -1 4 + 1x = -1 + 4x + -1x Combine like terms: 4x + -1x = 3x 4 + 1x = -1 + 3x Solving 4 + 1x = -1 + 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. 4 + 1x + -3x = -1 + 3x + -3x Combine like terms: 1x + -3x = -2x 4 + -2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -2x = -1 + 0 4 + -2x = -1 Add '-4' to each side of the equation. 4 + -4 + -2x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -1 + -4 -2x = -1 + -4 Combine like terms: -1 + -4 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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