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Simplifying 2x + -1(x + 8) = 4x + (5 + -1(2x + 1)) Reorder the terms: 2x + -1(8 + x) = 4x + (5 + -1(2x + 1)) 2x + (8 * -1 + x * -1) = 4x + (5 + -1(2x + 1)) 2x + (-8 + -1x) = 4x + (5 + -1(2x + 1)) Reorder the terms: -8 + 2x + -1x = 4x + (5 + -1(2x + 1)) Combine like terms: 2x + -1x = 1x -8 + 1x = 4x + (5 + -1(2x + 1)) Reorder the terms: -8 + 1x = 4x + (5 + -1(1 + 2x)) -8 + 1x = 4x + (5 + (1 * -1 + 2x * -1)) -8 + 1x = 4x + (5 + (-1 + -2x)) Combine like terms: 5 + -1 = 4 -8 + 1x = 4x + (4 + -2x) Remove parenthesis around (4 + -2x) -8 + 1x = 4x + 4 + -2x Reorder the terms: -8 + 1x = 4 + 4x + -2x Combine like terms: 4x + -2x = 2x -8 + 1x = 4 + 2x Solving -8 + 1x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 1x + -2x = 4 + 2x + -2x Combine like terms: 1x + -2x = -1x -8 + -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1x = 4 + 0 -8 + -1x = 4 Add '8' to each side of the equation. -8 + 8 + -1x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 4 + 8 -1x = 4 + 8 Combine like terms: 4 + 8 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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