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