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Simplifying 7(x + 5) = 8(x + -4) Reorder the terms: 7(5 + x) = 8(x + -4) (5 * 7 + x * 7) = 8(x + -4) (35 + 7x) = 8(x + -4) Reorder the terms: 35 + 7x = 8(-4 + x) 35 + 7x = (-4 * 8 + x * 8) 35 + 7x = (-32 + 8x) Solving 35 + 7x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 7x + -8x = -32 + 8x + -8x Combine like terms: 7x + -8x = -1x 35 + -1x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -1x = -32 + 0 35 + -1x = -32 Add '-35' to each side of the equation. 35 + -35 + -1x = -32 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = -32 + -35 -1x = -32 + -35 Combine like terms: -32 + -35 = -67 -1x = -67 Divide each side by '-1'. x = 67 Simplifying x = 67
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