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Simplifying 2x + 2 = 2 + -1(x + 6) Reorder the terms: 2 + 2x = 2 + -1(x + 6) Reorder the terms: 2 + 2x = 2 + -1(6 + x) 2 + 2x = 2 + (6 * -1 + x * -1) 2 + 2x = 2 + (-6 + -1x) Combine like terms: 2 + -6 = -4 2 + 2x = -4 + -1x Solving 2 + 2x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 2x + x = -4 + -1x + x Combine like terms: 2x + x = 3x 2 + 3x = -4 + -1x + x Combine like terms: -1x + x = 0 2 + 3x = -4 + 0 2 + 3x = -4 Add '-2' to each side of the equation. 2 + -2 + 3x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -4 + -2 3x = -4 + -2 Combine like terms: -4 + -2 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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