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Simplifying (7x + -9) + 1 = 8(x + -4) Reorder the terms: (-9 + 7x) + 1 = 8(x + -4) Remove parenthesis around (-9 + 7x) -9 + 7x + 1 = 8(x + -4) Reorder the terms: -9 + 1 + 7x = 8(x + -4) Combine like terms: -9 + 1 = -8 -8 + 7x = 8(x + -4) Reorder the terms: -8 + 7x = 8(-4 + x) -8 + 7x = (-4 * 8 + x * 8) -8 + 7x = (-32 + 8x) Solving -8 + 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. -8 + 7x + -8x = -32 + 8x + -8x Combine like terms: 7x + -8x = -1x -8 + -1x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -1x = -32 + 0 -8 + -1x = -32 Add '8' to each side of the equation. -8 + 8 + -1x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -32 + 8 -1x = -32 + 8 Combine like terms: -32 + 8 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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