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Simplifying 4(x + -1) = 2(x + 2) + -1x Reorder the terms: 4(-1 + x) = 2(x + 2) + -1x (-1 * 4 + x * 4) = 2(x + 2) + -1x (-4 + 4x) = 2(x + 2) + -1x Reorder the terms: -4 + 4x = 2(2 + x) + -1x -4 + 4x = (2 * 2 + x * 2) + -1x -4 + 4x = (4 + 2x) + -1x Combine like terms: 2x + -1x = 1x -4 + 4x = 4 + 1x Solving -4 + 4x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 4x + -1x = 4 + 1x + -1x Combine like terms: 4x + -1x = 3x -4 + 3x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4 Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4 Combine like terms: 4 + 4 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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