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Simplifying 3x + 10 + -8x = 17x + 12x + -3 Reorder the terms: 10 + 3x + -8x = 17x + 12x + -3 Combine like terms: 3x + -8x = -5x 10 + -5x = 17x + 12x + -3 Reorder the terms: 10 + -5x = -3 + 17x + 12x Combine like terms: 17x + 12x = 29x 10 + -5x = -3 + 29x Solving 10 + -5x = -3 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 10 + -5x + -29x = -3 + 29x + -29x Combine like terms: -5x + -29x = -34x 10 + -34x = -3 + 29x + -29x Combine like terms: 29x + -29x = 0 10 + -34x = -3 + 0 10 + -34x = -3 Add '-10' to each side of the equation. 10 + -10 + -34x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -34x = -3 + -10 -34x = -3 + -10 Combine like terms: -3 + -10 = -13 -34x = -13 Divide each side by '-34'. x = 0.3823529412 Simplifying x = 0.3823529412
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