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Simplifying 2x + 1 + -3x = 4x + 7 + -1x Reorder the terms: 1 + 2x + -3x = 4x + 7 + -1x Combine like terms: 2x + -3x = -1x 1 + -1x = 4x + 7 + -1x Reorder the terms: 1 + -1x = 7 + 4x + -1x Combine like terms: 4x + -1x = 3x 1 + -1x = 7 + 3x Solving 1 + -1x = 7 + 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 = 7 + 3x + -3x Combine like terms: -1x + -3x = -4x 1 + -4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -4x = 7 + 0 1 + -4x = 7 Add '-1' to each side of the equation. 1 + -1 + -4x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 7 + -1 -4x = 7 + -1 Combine like terms: 7 + -1 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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