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Simplifying 2(x + 4) = 8 + -1(x + 3) Reorder the terms: 2(4 + x) = 8 + -1(x + 3) (4 * 2 + x * 2) = 8 + -1(x + 3) (8 + 2x) = 8 + -1(x + 3) Reorder the terms: 8 + 2x = 8 + -1(3 + x) 8 + 2x = 8 + (3 * -1 + x * -1) 8 + 2x = 8 + (-3 + -1x) Combine like terms: 8 + -3 = 5 8 + 2x = 5 + -1x Solving 8 + 2x = 5 + -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 = 5 + -1x + x Combine like terms: 2x + x = 3x 8 + 3x = 5 + -1x + x Combine like terms: -1x + x = 0 8 + 3x = 5 + 0 8 + 3x = 5 Add '-8' to each side of the equation. 8 + -8 + 3x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 5 + -8 3x = 5 + -8 Combine like terms: 5 + -8 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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