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Simplifying 3x + 6 + -1x + 15 = 4 + -9x + -20 + 2x + 30 Reorder the terms: 6 + 15 + 3x + -1x = 4 + -9x + -20 + 2x + 30 Combine like terms: 6 + 15 = 21 21 + 3x + -1x = 4 + -9x + -20 + 2x + 30 Combine like terms: 3x + -1x = 2x 21 + 2x = 4 + -9x + -20 + 2x + 30 Reorder the terms: 21 + 2x = 4 + -20 + 30 + -9x + 2x Combine like terms: 4 + -20 = -16 21 + 2x = -16 + 30 + -9x + 2x Combine like terms: -16 + 30 = 14 21 + 2x = 14 + -9x + 2x Combine like terms: -9x + 2x = -7x 21 + 2x = 14 + -7x Solving 21 + 2x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 21 + 2x + 7x = 14 + -7x + 7x Combine like terms: 2x + 7x = 9x 21 + 9x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 21 + 9x = 14 + 0 21 + 9x = 14 Add '-21' to each side of the equation. 21 + -21 + 9x = 14 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 14 + -21 9x = 14 + -21 Combine like terms: 14 + -21 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778
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