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Simplifying 5(4x + -9) + -8 = 5(x + -3) + 67 Reorder the terms: 5(-9 + 4x) + -8 = 5(x + -3) + 67 (-9 * 5 + 4x * 5) + -8 = 5(x + -3) + 67 (-45 + 20x) + -8 = 5(x + -3) + 67 Reorder the terms: -45 + -8 + 20x = 5(x + -3) + 67 Combine like terms: -45 + -8 = -53 -53 + 20x = 5(x + -3) + 67 Reorder the terms: -53 + 20x = 5(-3 + x) + 67 -53 + 20x = (-3 * 5 + x * 5) + 67 -53 + 20x = (-15 + 5x) + 67 Reorder the terms: -53 + 20x = -15 + 67 + 5x Combine like terms: -15 + 67 = 52 -53 + 20x = 52 + 5x Solving -53 + 20x = 52 + 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 = 52 + 5x + -5x Combine like terms: 20x + -5x = 15x -53 + 15x = 52 + 5x + -5x Combine like terms: 5x + -5x = 0 -53 + 15x = 52 + 0 -53 + 15x = 52 Add '53' to each side of the equation. -53 + 53 + 15x = 52 + 53 Combine like terms: -53 + 53 = 0 0 + 15x = 52 + 53 15x = 52 + 53 Combine like terms: 52 + 53 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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