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Simplifying -209 = 5x + -6(5x + 14) Reorder the terms: -209 = 5x + -6(14 + 5x) -209 = 5x + (14 * -6 + 5x * -6) -209 = 5x + (-84 + -30x) Reorder the terms: -209 = -84 + 5x + -30x Combine like terms: 5x + -30x = -25x -209 = -84 + -25x Solving -209 = -84 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -209 + 25x = -84 + -25x + 25x Combine like terms: -25x + 25x = 0 -209 + 25x = -84 + 0 -209 + 25x = -84 Add '209' to each side of the equation. -209 + 209 + 25x = -84 + 209 Combine like terms: -209 + 209 = 0 0 + 25x = -84 + 209 25x = -84 + 209 Combine like terms: -84 + 209 = 125 25x = 125 Divide each side by '25'. x = 5 Simplifying x = 5
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