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