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Simplifying 23(x + -4) = 32(x + -1) Reorder the terms: 23(-4 + x) = 32(x + -1) (-4 * 23 + x * 23) = 32(x + -1) (-92 + 23x) = 32(x + -1) Reorder the terms: -92 + 23x = 32(-1 + x) -92 + 23x = (-1 * 32 + x * 32) -92 + 23x = (-32 + 32x) Solving -92 + 23x = -32 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -92 + 23x + -32x = -32 + 32x + -32x Combine like terms: 23x + -32x = -9x -92 + -9x = -32 + 32x + -32x Combine like terms: 32x + -32x = 0 -92 + -9x = -32 + 0 -92 + -9x = -32 Add '92' to each side of the equation. -92 + 92 + -9x = -32 + 92 Combine like terms: -92 + 92 = 0 0 + -9x = -32 + 92 -9x = -32 + 92 Combine like terms: -32 + 92 = 60 -9x = 60 Divide each side by '-9'. x = -6.666666667 Simplifying x = -6.666666667
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