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Simplifying -4(1 + 2x) + -8x = 6(-12x + -10) (1 * -4 + 2x * -4) + -8x = 6(-12x + -10) (-4 + -8x) + -8x = 6(-12x + -10) Combine like terms: -8x + -8x = -16x -4 + -16x = 6(-12x + -10) Reorder the terms: -4 + -16x = 6(-10 + -12x) -4 + -16x = (-10 * 6 + -12x * 6) -4 + -16x = (-60 + -72x) Solving -4 + -16x = -60 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -4 + -16x + 72x = -60 + -72x + 72x Combine like terms: -16x + 72x = 56x -4 + 56x = -60 + -72x + 72x Combine like terms: -72x + 72x = 0 -4 + 56x = -60 + 0 -4 + 56x = -60 Add '4' to each side of the equation. -4 + 4 + 56x = -60 + 4 Combine like terms: -4 + 4 = 0 0 + 56x = -60 + 4 56x = -60 + 4 Combine like terms: -60 + 4 = -56 56x = -56 Divide each side by '56'. x = -1 Simplifying x = -1
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