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Simplifying 5(4x + -9) + -8 = 5(x + -2) + 47 Reorder the terms: 5(-9 + 4x) + -8 = 5(x + -2) + 47 (-9 * 5 + 4x * 5) + -8 = 5(x + -2) + 47 (-45 + 20x) + -8 = 5(x + -2) + 47 Reorder the terms: -45 + -8 + 20x = 5(x + -2) + 47 Combine like terms: -45 + -8 = -53 -53 + 20x = 5(x + -2) + 47 Reorder the terms: -53 + 20x = 5(-2 + x) + 47 -53 + 20x = (-2 * 5 + x * 5) + 47 -53 + 20x = (-10 + 5x) + 47 Reorder the terms: -53 + 20x = -10 + 47 + 5x Combine like terms: -10 + 47 = 37 -53 + 20x = 37 + 5x Solving -53 + 20x = 37 + 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. -53 + 20x + -5x = 37 + 5x + -5x Combine like terms: 20x + -5x = 15x -53 + 15x = 37 + 5x + -5x Combine like terms: 5x + -5x = 0 -53 + 15x = 37 + 0 -53 + 15x = 37 Add '53' to each side of the equation. -53 + 53 + 15x = 37 + 53 Combine like terms: -53 + 53 = 0 0 + 15x = 37 + 53 15x = 37 + 53 Combine like terms: 37 + 53 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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