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