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Simplifying 1x + 5x + 9 = 21 + 2x Reorder the terms: 9 + 1x + 5x = 21 + 2x Combine like terms: 1x + 5x = 6x 9 + 6x = 21 + 2x Solving 9 + 6x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 6x + -2x = 21 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = 21 + 0 9 + 4x = 21 Add '-9' to each side of the equation. 9 + -9 + 4x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 21 + -9 4x = 21 + -9 Combine like terms: 21 + -9 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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