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Simplifying 3x + 7 + 12x = 20x + -8 + -30 Reorder the terms: 7 + 3x + 12x = 20x + -8 + -30 Combine like terms: 3x + 12x = 15x 7 + 15x = 20x + -8 + -30 Reorder the terms: 7 + 15x = -8 + -30 + 20x Combine like terms: -8 + -30 = -38 7 + 15x = -38 + 20x Solving 7 + 15x = -38 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 7 + 15x + -20x = -38 + 20x + -20x Combine like terms: 15x + -20x = -5x 7 + -5x = -38 + 20x + -20x Combine like terms: 20x + -20x = 0 7 + -5x = -38 + 0 7 + -5x = -38 Add '-7' to each side of the equation. 7 + -7 + -5x = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -38 + -7 -5x = -38 + -7 Combine like terms: -38 + -7 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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