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Simplifying 4x + 2 + -2x = 9 + x + 1 Reorder the terms: 2 + 4x + -2x = 9 + x + 1 Combine like terms: 4x + -2x = 2x 2 + 2x = 9 + x + 1 Reorder the terms: 2 + 2x = 9 + 1 + x Combine like terms: 9 + 1 = 10 2 + 2x = 10 + x Solving 2 + 2x = 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. 2 + 2x + -1x = 10 + x + -1x Combine like terms: 2x + -1x = 1x 2 + 1x = 10 + x + -1x Combine like terms: x + -1x = 0 2 + 1x = 10 + 0 2 + 1x = 10 Add '-2' to each side of the equation. 2 + -2 + 1x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 10 + -2 1x = 10 + -2 Combine like terms: 10 + -2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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