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Simplifying 5(x + -4) = -9(x + 2) + 46 Reorder the terms: 5(-4 + x) = -9(x + 2) + 46 (-4 * 5 + x * 5) = -9(x + 2) + 46 (-20 + 5x) = -9(x + 2) + 46 Reorder the terms: -20 + 5x = -9(2 + x) + 46 -20 + 5x = (2 * -9 + x * -9) + 46 -20 + 5x = (-18 + -9x) + 46 Reorder the terms: -20 + 5x = -18 + 46 + -9x Combine like terms: -18 + 46 = 28 -20 + 5x = 28 + -9x Solving -20 + 5x = 28 + -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. -20 + 5x + 9x = 28 + -9x + 9x Combine like terms: 5x + 9x = 14x -20 + 14x = 28 + -9x + 9x Combine like terms: -9x + 9x = 0 -20 + 14x = 28 + 0 -20 + 14x = 28 Add '20' to each side of the equation. -20 + 20 + 14x = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = 28 + 20 14x = 28 + 20 Combine like terms: 28 + 20 = 48 14x = 48 Divide each side by '14'. x = 3.428571429 Simplifying x = 3.428571429
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