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Simplifying 2x + 2 = 2(2 + -1x) + 6 Reorder the terms: 2 + 2x = 2(2 + -1x) + 6 2 + 2x = (2 * 2 + -1x * 2) + 6 2 + 2x = (4 + -2x) + 6 Reorder the terms: 2 + 2x = 4 + 6 + -2x Combine like terms: 4 + 6 = 10 2 + 2x = 10 + -2x Solving 2 + 2x = 10 + -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. 2 + 2x + 2x = 10 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = 10 + 0 2 + 4x = 10 Add '-2' to each side of the equation. 2 + -2 + 4x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 10 + -2 4x = 10 + -2 Combine like terms: 10 + -2 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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