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Simplifying 4(x + -8) + -6x = 3x + -1x + -8 Reorder the terms: 4(-8 + x) + -6x = 3x + -1x + -8 (-8 * 4 + x * 4) + -6x = 3x + -1x + -8 (-32 + 4x) + -6x = 3x + -1x + -8 Combine like terms: 4x + -6x = -2x -32 + -2x = 3x + -1x + -8 Reorder the terms: -32 + -2x = -8 + 3x + -1x Combine like terms: 3x + -1x = 2x -32 + -2x = -8 + 2x Solving -32 + -2x = -8 + 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. -32 + -2x + -2x = -8 + 2x + -2x Combine like terms: -2x + -2x = -4x -32 + -4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + -4x = -8 + 0 -32 + -4x = -8 Add '32' to each side of the equation. -32 + 32 + -4x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -8 + 32 -4x = -8 + 32 Combine like terms: -8 + 32 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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