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Simplifying 6(x + -1) = 2(x + -4) + -8 Reorder the terms: 6(-1 + x) = 2(x + -4) + -8 (-1 * 6 + x * 6) = 2(x + -4) + -8 (-6 + 6x) = 2(x + -4) + -8 Reorder the terms: -6 + 6x = 2(-4 + x) + -8 -6 + 6x = (-4 * 2 + x * 2) + -8 -6 + 6x = (-8 + 2x) + -8 Reorder the terms: -6 + 6x = -8 + -8 + 2x Combine like terms: -8 + -8 = -16 -6 + 6x = -16 + 2x Solving -6 + 6x = -16 + 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. -6 + 6x + -2x = -16 + 2x + -2x Combine like terms: 6x + -2x = 4x -6 + 4x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 4x = -16 + 0 -6 + 4x = -16 Add '6' to each side of the equation. -6 + 6 + 4x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -16 + 6 4x = -16 + 6 Combine like terms: -16 + 6 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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