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Simplifying 5(4x + -3) + -1(8 + -2x) = 33 Reorder the terms: 5(-3 + 4x) + -1(8 + -2x) = 33 (-3 * 5 + 4x * 5) + -1(8 + -2x) = 33 (-15 + 20x) + -1(8 + -2x) = 33 -15 + 20x + (8 * -1 + -2x * -1) = 33 -15 + 20x + (-8 + 2x) = 33 Reorder the terms: -15 + -8 + 20x + 2x = 33 Combine like terms: -15 + -8 = -23 -23 + 20x + 2x = 33 Combine like terms: 20x + 2x = 22x -23 + 22x = 33 Solving -23 + 22x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 22x = 33 + 23 Combine like terms: -23 + 23 = 0 0 + 22x = 33 + 23 22x = 33 + 23 Combine like terms: 33 + 23 = 56 22x = 56 Divide each side by '22'. x = 2.545454545 Simplifying x = 2.545454545
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