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Simplifying 5x + -9x + 5 = 5x + 21 + -5 Reorder the terms: 5 + 5x + -9x = 5x + 21 + -5 Combine like terms: 5x + -9x = -4x 5 + -4x = 5x + 21 + -5 Reorder the terms: 5 + -4x = 21 + -5 + 5x Combine like terms: 21 + -5 = 16 5 + -4x = 16 + 5x Solving 5 + -4x = 16 + 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. 5 + -4x + -5x = 16 + 5x + -5x Combine like terms: -4x + -5x = -9x 5 + -9x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -9x = 16 + 0 5 + -9x = 16 Add '-5' to each side of the equation. 5 + -5 + -9x = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 16 + -5 -9x = 16 + -5 Combine like terms: 16 + -5 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222
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