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Simplifying 5(4x + -9) + -5 = 5(x + -4) + 75 Reorder the terms: 5(-9 + 4x) + -5 = 5(x + -4) + 75 (-9 * 5 + 4x * 5) + -5 = 5(x + -4) + 75 (-45 + 20x) + -5 = 5(x + -4) + 75 Reorder the terms: -45 + -5 + 20x = 5(x + -4) + 75 Combine like terms: -45 + -5 = -50 -50 + 20x = 5(x + -4) + 75 Reorder the terms: -50 + 20x = 5(-4 + x) + 75 -50 + 20x = (-4 * 5 + x * 5) + 75 -50 + 20x = (-20 + 5x) + 75 Reorder the terms: -50 + 20x = -20 + 75 + 5x Combine like terms: -20 + 75 = 55 -50 + 20x = 55 + 5x Solving -50 + 20x = 55 + 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. -50 + 20x + -5x = 55 + 5x + -5x Combine like terms: 20x + -5x = 15x -50 + 15x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 -50 + 15x = 55 + 0 -50 + 15x = 55 Add '50' to each side of the equation. -50 + 50 + 15x = 55 + 50 Combine like terms: -50 + 50 = 0 0 + 15x = 55 + 50 15x = 55 + 50 Combine like terms: 55 + 50 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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