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Simplifying x + 77 = 6(x + 2) Reorder the terms: 77 + x = 6(x + 2) Reorder the terms: 77 + x = 6(2 + x) 77 + x = (2 * 6 + x * 6) 77 + x = (12 + 6x) Solving 77 + x = 12 + 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. 77 + x + -6x = 12 + 6x + -6x Combine like terms: x + -6x = -5x 77 + -5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 77 + -5x = 12 + 0 77 + -5x = 12 Add '-77' to each side of the equation. 77 + -77 + -5x = 12 + -77 Combine like terms: 77 + -77 = 0 0 + -5x = 12 + -77 -5x = 12 + -77 Combine like terms: 12 + -77 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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