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Simplifying 3 + -1(5 + -2x) = 4(30 + -5x) 3 + (5 * -1 + -2x * -1) = 4(30 + -5x) 3 + (-5 + 2x) = 4(30 + -5x) Combine like terms: 3 + -5 = -2 -2 + 2x = 4(30 + -5x) -2 + 2x = (30 * 4 + -5x * 4) -2 + 2x = (120 + -20x) Solving -2 + 2x = 120 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -2 + 2x + 20x = 120 + -20x + 20x Combine like terms: 2x + 20x = 22x -2 + 22x = 120 + -20x + 20x Combine like terms: -20x + 20x = 0 -2 + 22x = 120 + 0 -2 + 22x = 120 Add '2' to each side of the equation. -2 + 2 + 22x = 120 + 2 Combine like terms: -2 + 2 = 0 0 + 22x = 120 + 2 22x = 120 + 2 Combine like terms: 120 + 2 = 122 22x = 122 Divide each side by '22'. x = 5.545454545 Simplifying x = 5.545454545
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