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Simplifying -8x + 6 = 30x + -41 Reorder the terms: 6 + -8x = 30x + -41 Reorder the terms: 6 + -8x = -41 + 30x Solving 6 + -8x = -41 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 6 + -8x + -30x = -41 + 30x + -30x Combine like terms: -8x + -30x = -38x 6 + -38x = -41 + 30x + -30x Combine like terms: 30x + -30x = 0 6 + -38x = -41 + 0 6 + -38x = -41 Add '-6' to each side of the equation. 6 + -6 + -38x = -41 + -6 Combine like terms: 6 + -6 = 0 0 + -38x = -41 + -6 -38x = -41 + -6 Combine like terms: -41 + -6 = -47 -38x = -47 Divide each side by '-38'. x = 1.236842105 Simplifying x = 1.236842105
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