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Simplifying 6 + -3x + 2x = 5x + 21 + -3 Combine like terms: -3x + 2x = -1x 6 + -1x = 5x + 21 + -3 Reorder the terms: 6 + -1x = 21 + -3 + 5x Combine like terms: 21 + -3 = 18 6 + -1x = 18 + 5x Solving 6 + -1x = 18 + 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. 6 + -1x + -5x = 18 + 5x + -5x Combine like terms: -1x + -5x = -6x 6 + -6x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -6x = 18 + 0 6 + -6x = 18 Add '-6' to each side of the equation. 6 + -6 + -6x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 18 + -6 -6x = 18 + -6 Combine like terms: 18 + -6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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