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Simplifying x + -4x + 1 = 2x + 7 Reorder the terms: 1 + x + -4x = 2x + 7 Combine like terms: x + -4x = -3x 1 + -3x = 2x + 7 Reorder the terms: 1 + -3x = 7 + 2x Solving 1 + -3x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -3x + -2x = 7 + 2x + -2x Combine like terms: -3x + -2x = -5x 1 + -5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -5x = 7 + 0 1 + -5x = 7 Add '-1' to each side of the equation. 1 + -1 + -5x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 7 + -1 -5x = 7 + -1 Combine like terms: 7 + -1 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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