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Simplifying 4(x + -6) = 9(x + 5) Reorder the terms: 4(-6 + x) = 9(x + 5) (-6 * 4 + x * 4) = 9(x + 5) (-24 + 4x) = 9(x + 5) Reorder the terms: -24 + 4x = 9(5 + x) -24 + 4x = (5 * 9 + x * 9) -24 + 4x = (45 + 9x) Solving -24 + 4x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 4x + -9x = 45 + 9x + -9x Combine like terms: 4x + -9x = -5x -24 + -5x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + -5x = 45 + 0 -24 + -5x = 45 Add '24' to each side of the equation. -24 + 24 + -5x = 45 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 45 + 24 -5x = 45 + 24 Combine like terms: 45 + 24 = 69 -5x = 69 Divide each side by '-5'. x = -13.8 Simplifying x = -13.8
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