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Simplifying 3 + 5(x + -4) = 10 + -9(x + -3) Reorder the terms: 3 + 5(-4 + x) = 10 + -9(x + -3) 3 + (-4 * 5 + x * 5) = 10 + -9(x + -3) 3 + (-20 + 5x) = 10 + -9(x + -3) Combine like terms: 3 + -20 = -17 -17 + 5x = 10 + -9(x + -3) Reorder the terms: -17 + 5x = 10 + -9(-3 + x) -17 + 5x = 10 + (-3 * -9 + x * -9) -17 + 5x = 10 + (27 + -9x) Combine like terms: 10 + 27 = 37 -17 + 5x = 37 + -9x Solving -17 + 5x = 37 + -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. -17 + 5x + 9x = 37 + -9x + 9x Combine like terms: 5x + 9x = 14x -17 + 14x = 37 + -9x + 9x Combine like terms: -9x + 9x = 0 -17 + 14x = 37 + 0 -17 + 14x = 37 Add '17' to each side of the equation. -17 + 17 + 14x = 37 + 17 Combine like terms: -17 + 17 = 0 0 + 14x = 37 + 17 14x = 37 + 17 Combine like terms: 37 + 17 = 54 14x = 54 Divide each side by '14'. x = 3.857142857 Simplifying x = 3.857142857
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