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Simplifying 1 + x + -7 + 2x = x + 7 + 3 Reorder the terms: 1 + -7 + x + 2x = x + 7 + 3 Combine like terms: 1 + -7 = -6 -6 + x + 2x = x + 7 + 3 Combine like terms: x + 2x = 3x -6 + 3x = x + 7 + 3 Reorder the terms: -6 + 3x = 7 + 3 + x Combine like terms: 7 + 3 = 10 -6 + 3x = 10 + x Solving -6 + 3x = 10 + 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. -6 + 3x + -1x = 10 + x + -1x Combine like terms: 3x + -1x = 2x -6 + 2x = 10 + x + -1x Combine like terms: x + -1x = 0 -6 + 2x = 10 + 0 -6 + 2x = 10 Add '6' to each side of the equation. -6 + 6 + 2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 10 + 6 2x = 10 + 6 Combine like terms: 10 + 6 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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