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Simplifying 8 + -1(x + 4) = 3(2 + x) Reorder the terms: 8 + -1(4 + x) = 3(2 + x) 8 + (4 * -1 + x * -1) = 3(2 + x) 8 + (-4 + -1x) = 3(2 + x) Combine like terms: 8 + -4 = 4 4 + -1x = 3(2 + x) 4 + -1x = (2 * 3 + x * 3) 4 + -1x = (6 + 3x) Solving 4 + -1x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -1x + -3x = 6 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = 6 + 0 4 + -4x = 6 Add '-4' to each side of the equation. 4 + -4 + -4x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 6 + -4 -4x = 6 + -4 Combine like terms: 6 + -4 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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