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Simplifying 10 + (x + -2) = 5 + -1(x + 4) Reorder the terms: 10 + (-2 + x) = 5 + -1(x + 4) Remove parenthesis around (-2 + x) 10 + -2 + x = 5 + -1(x + 4) Combine like terms: 10 + -2 = 8 8 + x = 5 + -1(x + 4) Reorder the terms: 8 + x = 5 + -1(4 + x) 8 + x = 5 + (4 * -1 + x * -1) 8 + x = 5 + (-4 + -1x) Combine like terms: 5 + -4 = 1 8 + x = 1 + -1x Solving 8 + x = 1 + -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 + x + x = 1 + -1x + x Combine like terms: x + x = 2x 8 + 2x = 1 + -1x + x Combine like terms: -1x + x = 0 8 + 2x = 1 + 0 8 + 2x = 1 Add '-8' to each side of the equation. 8 + -8 + 2x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 1 + -8 2x = 1 + -8 Combine like terms: 1 + -8 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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