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Simplifying 5(x + -2) = -9(x + 1) + 17 Reorder the terms: 5(-2 + x) = -9(x + 1) + 17 (-2 * 5 + x * 5) = -9(x + 1) + 17 (-10 + 5x) = -9(x + 1) + 17 Reorder the terms: -10 + 5x = -9(1 + x) + 17 -10 + 5x = (1 * -9 + x * -9) + 17 -10 + 5x = (-9 + -9x) + 17 Reorder the terms: -10 + 5x = -9 + 17 + -9x Combine like terms: -9 + 17 = 8 -10 + 5x = 8 + -9x Solving -10 + 5x = 8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -10 + 5x + 9x = 8 + -9x + 9x Combine like terms: 5x + 9x = 14x -10 + 14x = 8 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 14x = 8 + 0 -10 + 14x = 8 Add '10' to each side of the equation. -10 + 10 + 14x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 8 + 10 14x = 8 + 10 Combine like terms: 8 + 10 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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