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Simplifying 7(x + 11) = 2x + 57 Reorder the terms: 7(11 + x) = 2x + 57 (11 * 7 + x * 7) = 2x + 57 (77 + 7x) = 2x + 57 Reorder the terms: 77 + 7x = 57 + 2x Solving 77 + 7x = 57 + 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. 77 + 7x + -2x = 57 + 2x + -2x Combine like terms: 7x + -2x = 5x 77 + 5x = 57 + 2x + -2x Combine like terms: 2x + -2x = 0 77 + 5x = 57 + 0 77 + 5x = 57 Add '-77' to each side of the equation. 77 + -77 + 5x = 57 + -77 Combine like terms: 77 + -77 = 0 0 + 5x = 57 + -77 5x = 57 + -77 Combine like terms: 57 + -77 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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