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Simplifying 4(3x + -5) = 5(2x + 7) Reorder the terms: 4(-5 + 3x) = 5(2x + 7) (-5 * 4 + 3x * 4) = 5(2x + 7) (-20 + 12x) = 5(2x + 7) Reorder the terms: -20 + 12x = 5(7 + 2x) -20 + 12x = (7 * 5 + 2x * 5) -20 + 12x = (35 + 10x) Solving -20 + 12x = 35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + 12x + -10x = 35 + 10x + -10x Combine like terms: 12x + -10x = 2x -20 + 2x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + 2x = 35 + 0 -20 + 2x = 35 Add '20' to each side of the equation. -20 + 20 + 2x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 35 + 20 2x = 35 + 20 Combine like terms: 35 + 20 = 55 2x = 55 Divide each side by '2'. x = 27.5 Simplifying x = 27.5
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