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Simplifying 3(2x + -4) = 20(5 + -3x) Reorder the terms: 3(-4 + 2x) = 20(5 + -3x) (-4 * 3 + 2x * 3) = 20(5 + -3x) (-12 + 6x) = 20(5 + -3x) -12 + 6x = (5 * 20 + -3x * 20) -12 + 6x = (100 + -60x) Solving -12 + 6x = 100 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. -12 + 6x + 60x = 100 + -60x + 60x Combine like terms: 6x + 60x = 66x -12 + 66x = 100 + -60x + 60x Combine like terms: -60x + 60x = 0 -12 + 66x = 100 + 0 -12 + 66x = 100 Add '12' to each side of the equation. -12 + 12 + 66x = 100 + 12 Combine like terms: -12 + 12 = 0 0 + 66x = 100 + 12 66x = 100 + 12 Combine like terms: 100 + 12 = 112 66x = 112 Divide each side by '66'. x = 1.696969697 Simplifying x = 1.696969697
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