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Simplifying 2x + 2 = 2(x) + -3(x + 2) Reorder the terms: 2 + 2x = 2(x) + -3(x + 2) Reorder the terms: 2 + 2x = 2x + -3(2 + x) 2 + 2x = 2x + (2 * -3 + x * -3) 2 + 2x = 2x + (-6 + -3x) Reorder the terms: 2 + 2x = -6 + 2x + -3x Combine like terms: 2x + -3x = -1x 2 + 2x = -6 + -1x Solving 2 + 2x = -6 + -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 = -6 + -1x + x Combine like terms: 2x + x = 3x 2 + 3x = -6 + -1x + x Combine like terms: -1x + x = 0 2 + 3x = -6 + 0 2 + 3x = -6 Add '-2' to each side of the equation. 2 + -2 + 3x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -6 + -2 3x = -6 + -2 Combine like terms: -6 + -2 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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