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Simplifying 1 + 9(x + -3) = 5 + -5(x + -4) Reorder the terms: 1 + 9(-3 + x) = 5 + -5(x + -4) 1 + (-3 * 9 + x * 9) = 5 + -5(x + -4) 1 + (-27 + 9x) = 5 + -5(x + -4) Combine like terms: 1 + -27 = -26 -26 + 9x = 5 + -5(x + -4) Reorder the terms: -26 + 9x = 5 + -5(-4 + x) -26 + 9x = 5 + (-4 * -5 + x * -5) -26 + 9x = 5 + (20 + -5x) Combine like terms: 5 + 20 = 25 -26 + 9x = 25 + -5x Solving -26 + 9x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -26 + 9x + 5x = 25 + -5x + 5x Combine like terms: 9x + 5x = 14x -26 + 14x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 -26 + 14x = 25 + 0 -26 + 14x = 25 Add '26' to each side of the equation. -26 + 26 + 14x = 25 + 26 Combine like terms: -26 + 26 = 0 0 + 14x = 25 + 26 14x = 25 + 26 Combine like terms: 25 + 26 = 51 14x = 51 Divide each side by '14'. x = 3.642857143 Simplifying x = 3.642857143
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