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Simplifying 6(x + -4) + -8 = -2(-8x + 7) + -6x Reorder the terms: 6(-4 + x) + -8 = -2(-8x + 7) + -6x (-4 * 6 + x * 6) + -8 = -2(-8x + 7) + -6x (-24 + 6x) + -8 = -2(-8x + 7) + -6x Reorder the terms: -24 + -8 + 6x = -2(-8x + 7) + -6x Combine like terms: -24 + -8 = -32 -32 + 6x = -2(-8x + 7) + -6x Reorder the terms: -32 + 6x = -2(7 + -8x) + -6x -32 + 6x = (7 * -2 + -8x * -2) + -6x -32 + 6x = (-14 + 16x) + -6x Combine like terms: 16x + -6x = 10x -32 + 6x = -14 + 10x Solving -32 + 6x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -32 + 6x + -10x = -14 + 10x + -10x Combine like terms: 6x + -10x = -4x -32 + -4x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + -4x = -14 + 0 -32 + -4x = -14 Add '32' to each side of the equation. -32 + 32 + -4x = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -14 + 32 -4x = -14 + 32 Combine like terms: -14 + 32 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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