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Simplifying 4x + -8 + -7x + -1(x + -4) = -2(4 + -2x) + 6 Reorder the terms: 4x + -8 + -7x + -1(-4 + x) = -2(4 + -2x) + 6 4x + -8 + -7x + (-4 * -1 + x * -1) = -2(4 + -2x) + 6 4x + -8 + -7x + (4 + -1x) = -2(4 + -2x) + 6 Reorder the terms: -8 + 4 + 4x + -7x + -1x = -2(4 + -2x) + 6 Combine like terms: -8 + 4 = -4 -4 + 4x + -7x + -1x = -2(4 + -2x) + 6 Combine like terms: 4x + -7x = -3x -4 + -3x + -1x = -2(4 + -2x) + 6 Combine like terms: -3x + -1x = -4x -4 + -4x = -2(4 + -2x) + 6 -4 + -4x = (4 * -2 + -2x * -2) + 6 -4 + -4x = (-8 + 4x) + 6 Reorder the terms: -4 + -4x = -8 + 6 + 4x Combine like terms: -8 + 6 = -2 -4 + -4x = -2 + 4x Solving -4 + -4x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + -4x + -4x = -2 + 4x + -4x Combine like terms: -4x + -4x = -8x -4 + -8x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -8x = -2 + 0 -4 + -8x = -2 Add '4' to each side of the equation. -4 + 4 + -8x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -2 + 4 -8x = -2 + 4 Combine like terms: -2 + 4 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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