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Simplifying -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 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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