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Simplifying 4(5x + -2) + -2(-1x + 7) = 209 Reorder the terms: 4(-2 + 5x) + -2(-1x + 7) = 209 (-2 * 4 + 5x * 4) + -2(-1x + 7) = 209 (-8 + 20x) + -2(-1x + 7) = 209 Reorder the terms: -8 + 20x + -2(7 + -1x) = 209 -8 + 20x + (7 * -2 + -1x * -2) = 209 -8 + 20x + (-14 + 2x) = 209 Reorder the terms: -8 + -14 + 20x + 2x = 209 Combine like terms: -8 + -14 = -22 -22 + 20x + 2x = 209 Combine like terms: 20x + 2x = 22x -22 + 22x = 209 Solving -22 + 22x = 209 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 22x = 209 + 22 Combine like terms: -22 + 22 = 0 0 + 22x = 209 + 22 22x = 209 + 22 Combine like terms: 209 + 22 = 231 22x = 231 Divide each side by '22'. x = 10.5 Simplifying x = 10.5
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