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Simplifying 9x + 10 = 6x + 55 Reorder the terms: 10 + 9x = 6x + 55 Reorder the terms: 10 + 9x = 55 + 6x Solving 10 + 9x = 55 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 9x + -6x = 55 + 6x + -6x Combine like terms: 9x + -6x = 3x 10 + 3x = 55 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 3x = 55 + 0 10 + 3x = 55 Add '-10' to each side of the equation. 10 + -10 + 3x = 55 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 55 + -10 3x = 55 + -10 Combine like terms: 55 + -10 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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