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Simplifying 3x + -4x + 1 = -2x + -5 + 5x Reorder the terms: 1 + 3x + -4x = -2x + -5 + 5x Combine like terms: 3x + -4x = -1x 1 + -1x = -2x + -5 + 5x Reorder the terms: 1 + -1x = -5 + -2x + 5x Combine like terms: -2x + 5x = 3x 1 + -1x = -5 + 3x Solving 1 + -1x = -5 + 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 + -1x + -3x = -5 + 3x + -3x Combine like terms: -1x + -3x = -4x 1 + -4x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -4x = -5 + 0 1 + -4x = -5 Add '-1' to each side of the equation. 1 + -1 + -4x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -5 + -1 -4x = -5 + -1 Combine like terms: -5 + -1 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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