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Simplifying 3x + 9 + 2x + 21 = 6x + -13 Reorder the terms: 9 + 21 + 3x + 2x = 6x + -13 Combine like terms: 9 + 21 = 30 30 + 3x + 2x = 6x + -13 Combine like terms: 3x + 2x = 5x 30 + 5x = 6x + -13 Reorder the terms: 30 + 5x = -13 + 6x Solving 30 + 5x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + 5x + -6x = -13 + 6x + -6x Combine like terms: 5x + -6x = -1x 30 + -1x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -1x = -13 + 0 30 + -1x = -13 Add '-30' to each side of the equation. 30 + -30 + -1x = -13 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -13 + -30 -1x = -13 + -30 Combine like terms: -13 + -30 = -43 -1x = -43 Divide each side by '-1'. x = 43 Simplifying x = 43
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