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Simplifying 4x + -24 = 9(x + -6) Reorder the terms: -24 + 4x = 9(x + -6) Reorder the terms: -24 + 4x = 9(-6 + x) -24 + 4x = (-6 * 9 + x * 9) -24 + 4x = (-54 + 9x) Solving -24 + 4x = -54 + 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 = -54 + 9x + -9x Combine like terms: 4x + -9x = -5x -24 + -5x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + -5x = -54 + 0 -24 + -5x = -54 Add '24' to each side of the equation. -24 + 24 + -5x = -54 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = -54 + 24 -5x = -54 + 24 Combine like terms: -54 + 24 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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