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Simplifying 8 + 2(x + -1) = 7 + -1(x + 4) Reorder the terms: 8 + 2(-1 + x) = 7 + -1(x + 4) 8 + (-1 * 2 + x * 2) = 7 + -1(x + 4) 8 + (-2 + 2x) = 7 + -1(x + 4) Combine like terms: 8 + -2 = 6 6 + 2x = 7 + -1(x + 4) Reorder the terms: 6 + 2x = 7 + -1(4 + x) 6 + 2x = 7 + (4 * -1 + x * -1) 6 + 2x = 7 + (-4 + -1x) Combine like terms: 7 + -4 = 3 6 + 2x = 3 + -1x Solving 6 + 2x = 3 + -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. 6 + 2x + x = 3 + -1x + x Combine like terms: 2x + x = 3x 6 + 3x = 3 + -1x + x Combine like terms: -1x + x = 0 6 + 3x = 3 + 0 6 + 3x = 3 Add '-6' to each side of the equation. 6 + -6 + 3x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 3 + -6 3x = 3 + -6 Combine like terms: 3 + -6 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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