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Simplifying 4(2x + -5) = 5(x + 7) Reorder the terms: 4(-5 + 2x) = 5(x + 7) (-5 * 4 + 2x * 4) = 5(x + 7) (-20 + 8x) = 5(x + 7) Reorder the terms: -20 + 8x = 5(7 + x) -20 + 8x = (7 * 5 + x * 5) -20 + 8x = (35 + 5x) Solving -20 + 8x = 35 + 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. -20 + 8x + -5x = 35 + 5x + -5x Combine like terms: 8x + -5x = 3x -20 + 3x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 3x = 35 + 0 -20 + 3x = 35 Add '20' to each side of the equation. -20 + 20 + 3x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 35 + 20 3x = 35 + 20 Combine like terms: 35 + 20 = 55 3x = 55 Divide each side by '3'. x = 18.33333333 Simplifying x = 18.33333333
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