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Simplifying 5x + -9 + x + 41 = 6 + 6x + 34 + -4x Reorder the terms: -9 + 41 + 5x + x = 6 + 6x + 34 + -4x Combine like terms: -9 + 41 = 32 32 + 5x + x = 6 + 6x + 34 + -4x Combine like terms: 5x + x = 6x 32 + 6x = 6 + 6x + 34 + -4x Reorder the terms: 32 + 6x = 6 + 34 + 6x + -4x Combine like terms: 6 + 34 = 40 32 + 6x = 40 + 6x + -4x Combine like terms: 6x + -4x = 2x 32 + 6x = 40 + 2x Solving 32 + 6x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + 6x + -2x = 40 + 2x + -2x Combine like terms: 6x + -2x = 4x 32 + 4x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 4x = 40 + 0 32 + 4x = 40 Add '-32' to each side of the equation. 32 + -32 + 4x = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 40 + -32 4x = 40 + -32 Combine like terms: 40 + -32 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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