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Simplifying 4x + 24 + 5x + 10 = 6x + 6 + 5x + 20 Reorder the terms: 24 + 10 + 4x + 5x = 6x + 6 + 5x + 20 Combine like terms: 24 + 10 = 34 34 + 4x + 5x = 6x + 6 + 5x + 20 Combine like terms: 4x + 5x = 9x 34 + 9x = 6x + 6 + 5x + 20 Reorder the terms: 34 + 9x = 6 + 20 + 6x + 5x Combine like terms: 6 + 20 = 26 34 + 9x = 26 + 6x + 5x Combine like terms: 6x + 5x = 11x 34 + 9x = 26 + 11x Solving 34 + 9x = 26 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 34 + 9x + -11x = 26 + 11x + -11x Combine like terms: 9x + -11x = -2x 34 + -2x = 26 + 11x + -11x Combine like terms: 11x + -11x = 0 34 + -2x = 26 + 0 34 + -2x = 26 Add '-34' to each side of the equation. 34 + -34 + -2x = 26 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 26 + -34 -2x = 26 + -34 Combine like terms: 26 + -34 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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