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Simplifying 5 + 5(x + -4) = 4 + -9(x + -4) Reorder the terms: 5 + 5(-4 + x) = 4 + -9(x + -4) 5 + (-4 * 5 + x * 5) = 4 + -9(x + -4) 5 + (-20 + 5x) = 4 + -9(x + -4) Combine like terms: 5 + -20 = -15 -15 + 5x = 4 + -9(x + -4) Reorder the terms: -15 + 5x = 4 + -9(-4 + x) -15 + 5x = 4 + (-4 * -9 + x * -9) -15 + 5x = 4 + (36 + -9x) Combine like terms: 4 + 36 = 40 -15 + 5x = 40 + -9x Solving -15 + 5x = 40 + -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. -15 + 5x + 9x = 40 + -9x + 9x Combine like terms: 5x + 9x = 14x -15 + 14x = 40 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + 14x = 40 + 0 -15 + 14x = 40 Add '15' to each side of the equation. -15 + 15 + 14x = 40 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 40 + 15 14x = 40 + 15 Combine like terms: 40 + 15 = 55 14x = 55 Divide each side by '14'. x = 3.928571429 Simplifying x = 3.928571429
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