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Simplifying -67 = 4(-7x + -8) + -5(7x + 7) Reorder the terms: -67 = 4(-8 + -7x) + -5(7x + 7) -67 = (-8 * 4 + -7x * 4) + -5(7x + 7) -67 = (-32 + -28x) + -5(7x + 7) Reorder the terms: -67 = -32 + -28x + -5(7 + 7x) -67 = -32 + -28x + (7 * -5 + 7x * -5) -67 = -32 + -28x + (-35 + -35x) Reorder the terms: -67 = -32 + -35 + -28x + -35x Combine like terms: -32 + -35 = -67 -67 = -67 + -28x + -35x Combine like terms: -28x + -35x = -63x -67 = -67 + -63x Add '67' to each side of the equation. -67 + 67 = -67 + 67 + -63x Combine like terms: -67 + 67 = 0 0 = -67 + 67 + -63x Combine like terms: -67 + 67 = 0 0 = 0 + -63x 0 = -63x Solving 0 = -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 0 + 63x = -63x + 63x Remove the zero: 63x = -63x + 63x Combine like terms: -63x + 63x = 0 63x = 0 Divide each side by '63'. x = 0 Simplifying x = 0
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