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Simplifying 9(x + -6) = 4(x + 4) Reorder the terms: 9(-6 + x) = 4(x + 4) (-6 * 9 + x * 9) = 4(x + 4) (-54 + 9x) = 4(x + 4) Reorder the terms: -54 + 9x = 4(4 + x) -54 + 9x = (4 * 4 + x * 4) -54 + 9x = (16 + 4x) Solving -54 + 9x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -54 + 9x + -4x = 16 + 4x + -4x Combine like terms: 9x + -4x = 5x -54 + 5x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 + 5x = 16 + 0 -54 + 5x = 16 Add '54' to each side of the equation. -54 + 54 + 5x = 16 + 54 Combine like terms: -54 + 54 = 0 0 + 5x = 16 + 54 5x = 16 + 54 Combine like terms: 16 + 54 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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