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Simplifying -4(1 + -6x) = -4(7 + -8x) (1 * -4 + -6x * -4) = -4(7 + -8x) (-4 + 24x) = -4(7 + -8x) -4 + 24x = (7 * -4 + -8x * -4) -4 + 24x = (-28 + 32x) Solving -4 + 24x = -28 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -4 + 24x + -32x = -28 + 32x + -32x Combine like terms: 24x + -32x = -8x -4 + -8x = -28 + 32x + -32x Combine like terms: 32x + -32x = 0 -4 + -8x = -28 + 0 -4 + -8x = -28 Add '4' to each side of the equation. -4 + 4 + -8x = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -28 + 4 -8x = -28 + 4 Combine like terms: -28 + 4 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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