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Simplifying 2(x + 4) = 14 + -1(x + -2) Reorder the terms: 2(4 + x) = 14 + -1(x + -2) (4 * 2 + x * 2) = 14 + -1(x + -2) (8 + 2x) = 14 + -1(x + -2) Reorder the terms: 8 + 2x = 14 + -1(-2 + x) 8 + 2x = 14 + (-2 * -1 + x * -1) 8 + 2x = 14 + (2 + -1x) Combine like terms: 14 + 2 = 16 8 + 2x = 16 + -1x Solving 8 + 2x = 16 + -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. 8 + 2x + x = 16 + -1x + x Combine like terms: 2x + x = 3x 8 + 3x = 16 + -1x + x Combine like terms: -1x + x = 0 8 + 3x = 16 + 0 8 + 3x = 16 Add '-8' to each side of the equation. 8 + -8 + 3x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 16 + -8 3x = 16 + -8 Combine like terms: 16 + -8 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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