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Simplifying 5(4x + -7) + -5 = 5(x + -4) + 85 Reorder the terms: 5(-7 + 4x) + -5 = 5(x + -4) + 85 (-7 * 5 + 4x * 5) + -5 = 5(x + -4) + 85 (-35 + 20x) + -5 = 5(x + -4) + 85 Reorder the terms: -35 + -5 + 20x = 5(x + -4) + 85 Combine like terms: -35 + -5 = -40 -40 + 20x = 5(x + -4) + 85 Reorder the terms: -40 + 20x = 5(-4 + x) + 85 -40 + 20x = (-4 * 5 + x * 5) + 85 -40 + 20x = (-20 + 5x) + 85 Reorder the terms: -40 + 20x = -20 + 85 + 5x Combine like terms: -20 + 85 = 65 -40 + 20x = 65 + 5x Solving -40 + 20x = 65 + 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. -40 + 20x + -5x = 65 + 5x + -5x Combine like terms: 20x + -5x = 15x -40 + 15x = 65 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 15x = 65 + 0 -40 + 15x = 65 Add '40' to each side of the equation. -40 + 40 + 15x = 65 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = 65 + 40 15x = 65 + 40 Combine like terms: 65 + 40 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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