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Simplifying -209 = 11(7x + 16) Reorder the terms: -209 = 11(16 + 7x) -209 = (16 * 11 + 7x * 11) -209 = (176 + 77x) Solving -209 = 176 + 77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77x' to each side of the equation. -209 + -77x = 176 + 77x + -77x Combine like terms: 77x + -77x = 0 -209 + -77x = 176 + 0 -209 + -77x = 176 Add '209' to each side of the equation. -209 + 209 + -77x = 176 + 209 Combine like terms: -209 + 209 = 0 0 + -77x = 176 + 209 -77x = 176 + 209 Combine like terms: 176 + 209 = 385 -77x = 385 Divide each side by '-77'. x = -5 Simplifying x = -5
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