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