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Simplifying -78 = -7(x + 4) + -4(7x + -5) Reorder the terms: -78 = -7(4 + x) + -4(7x + -5) -78 = (4 * -7 + x * -7) + -4(7x + -5) -78 = (-28 + -7x) + -4(7x + -5) Reorder the terms: -78 = -28 + -7x + -4(-5 + 7x) -78 = -28 + -7x + (-5 * -4 + 7x * -4) -78 = -28 + -7x + (20 + -28x) Reorder the terms: -78 = -28 + 20 + -7x + -28x Combine like terms: -28 + 20 = -8 -78 = -8 + -7x + -28x Combine like terms: -7x + -28x = -35x -78 = -8 + -35x Solving -78 = -8 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -78 + 35x = -8 + -35x + 35x Combine like terms: -35x + 35x = 0 -78 + 35x = -8 + 0 -78 + 35x = -8 Add '78' to each side of the equation. -78 + 78 + 35x = -8 + 78 Combine like terms: -78 + 78 = 0 0 + 35x = -8 + 78 35x = -8 + 78 Combine like terms: -8 + 78 = 70 35x = 70 Divide each side by '35'. x = 2 Simplifying x = 2
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