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Simplifying -72 = -8(4 + -2x) + -8(1 + -2x) -72 = (4 * -8 + -2x * -8) + -8(1 + -2x) -72 = (-32 + 16x) + -8(1 + -2x) -72 = -32 + 16x + (1 * -8 + -2x * -8) -72 = -32 + 16x + (-8 + 16x) Reorder the terms: -72 = -32 + -8 + 16x + 16x Combine like terms: -32 + -8 = -40 -72 = -40 + 16x + 16x Combine like terms: 16x + 16x = 32x -72 = -40 + 32x Solving -72 = -40 + 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. -72 + -32x = -40 + 32x + -32x Combine like terms: 32x + -32x = 0 -72 + -32x = -40 + 0 -72 + -32x = -40 Add '72' to each side of the equation. -72 + 72 + -32x = -40 + 72 Combine like terms: -72 + 72 = 0 0 + -32x = -40 + 72 -32x = -40 + 72 Combine like terms: -40 + 72 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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