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Simplifying -8(x + 4) = 8 + 6(-1x + -8) Reorder the terms: -8(4 + x) = 8 + 6(-1x + -8) (4 * -8 + x * -8) = 8 + 6(-1x + -8) (-32 + -8x) = 8 + 6(-1x + -8) Reorder the terms: -32 + -8x = 8 + 6(-8 + -1x) -32 + -8x = 8 + (-8 * 6 + -1x * 6) -32 + -8x = 8 + (-48 + -6x) Combine like terms: 8 + -48 = -40 -32 + -8x = -40 + -6x Solving -32 + -8x = -40 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -32 + -8x + 6x = -40 + -6x + 6x Combine like terms: -8x + 6x = -2x -32 + -2x = -40 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + -2x = -40 + 0 -32 + -2x = -40 Add '32' to each side of the equation. -32 + 32 + -2x = -40 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -40 + 32 -2x = -40 + 32 Combine like terms: -40 + 32 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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