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Simplifying 2(x + 1) + 2 = 3x + -4 Reorder the terms: 2(1 + x) + 2 = 3x + -4 (1 * 2 + x * 2) + 2 = 3x + -4 (2 + 2x) + 2 = 3x + -4 Reorder the terms: 2 + 2 + 2x = 3x + -4 Combine like terms: 2 + 2 = 4 4 + 2x = 3x + -4 Reorder the terms: 4 + 2x = -4 + 3x Solving 4 + 2x = -4 + 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. 4 + 2x + -3x = -4 + 3x + -3x Combine like terms: 2x + -3x = -1x 4 + -1x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -1x = -4 + 0 4 + -1x = -4 Add '-4' to each side of the equation. 4 + -4 + -1x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -4 + -4 -1x = -4 + -4 Combine like terms: -4 + -4 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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