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Simplifying 6x + 22 = 15x + -77 Reorder the terms: 22 + 6x = 15x + -77 Reorder the terms: 22 + 6x = -77 + 15x Solving 22 + 6x = -77 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 22 + 6x + -15x = -77 + 15x + -15x Combine like terms: 6x + -15x = -9x 22 + -9x = -77 + 15x + -15x Combine like terms: 15x + -15x = 0 22 + -9x = -77 + 0 22 + -9x = -77 Add '-22' to each side of the equation. 22 + -22 + -9x = -77 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = -77 + -22 -9x = -77 + -22 Combine like terms: -77 + -22 = -99 -9x = -99 Divide each side by '-9'. x = 11 Simplifying x = 11
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