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Simplifying 9(x + -16) + 2(x + -6) = 209 Reorder the terms: 9(-16 + x) + 2(x + -6) = 209 (-16 * 9 + x * 9) + 2(x + -6) = 209 (-144 + 9x) + 2(x + -6) = 209 Reorder the terms: -144 + 9x + 2(-6 + x) = 209 -144 + 9x + (-6 * 2 + x * 2) = 209 -144 + 9x + (-12 + 2x) = 209 Reorder the terms: -144 + -12 + 9x + 2x = 209 Combine like terms: -144 + -12 = -156 -156 + 9x + 2x = 209 Combine like terms: 9x + 2x = 11x -156 + 11x = 209 Solving -156 + 11x = 209 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '156' to each side of the equation. -156 + 156 + 11x = 209 + 156 Combine like terms: -156 + 156 = 0 0 + 11x = 209 + 156 11x = 209 + 156 Combine like terms: 209 + 156 = 365 11x = 365 Divide each side by '11'. x = 33.18181818 Simplifying x = 33.18181818
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