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Simplifying -10(7x + -4) = -8(8x + 4) Reorder the terms: -10(-4 + 7x) = -8(8x + 4) (-4 * -10 + 7x * -10) = -8(8x + 4) (40 + -70x) = -8(8x + 4) Reorder the terms: 40 + -70x = -8(4 + 8x) 40 + -70x = (4 * -8 + 8x * -8) 40 + -70x = (-32 + -64x) Solving 40 + -70x = -32 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. 40 + -70x + 64x = -32 + -64x + 64x Combine like terms: -70x + 64x = -6x 40 + -6x = -32 + -64x + 64x Combine like terms: -64x + 64x = 0 40 + -6x = -32 + 0 40 + -6x = -32 Add '-40' to each side of the equation. 40 + -40 + -6x = -32 + -40 Combine like terms: 40 + -40 = 0 0 + -6x = -32 + -40 -6x = -32 + -40 Combine like terms: -32 + -40 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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