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Simplifying 4(x + -6) = 21 + -5x Reorder the terms: 4(-6 + x) = 21 + -5x (-6 * 4 + x * 4) = 21 + -5x (-24 + 4x) = 21 + -5x Solving -24 + 4x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + 4x + 5x = 21 + -5x + 5x Combine like terms: 4x + 5x = 9x -24 + 9x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 9x = 21 + 0 -24 + 9x = 21 Add '24' to each side of the equation. -24 + 24 + 9x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 21 + 24 9x = 21 + 24 Combine like terms: 21 + 24 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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