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Simplifying 6(4x + -3) + 5(4x + -2) = 60 + -20(2 + -1x) Reorder the terms: 6(-3 + 4x) + 5(4x + -2) = 60 + -20(2 + -1x) (-3 * 6 + 4x * 6) + 5(4x + -2) = 60 + -20(2 + -1x) (-18 + 24x) + 5(4x + -2) = 60 + -20(2 + -1x) Reorder the terms: -18 + 24x + 5(-2 + 4x) = 60 + -20(2 + -1x) -18 + 24x + (-2 * 5 + 4x * 5) = 60 + -20(2 + -1x) -18 + 24x + (-10 + 20x) = 60 + -20(2 + -1x) Reorder the terms: -18 + -10 + 24x + 20x = 60 + -20(2 + -1x) Combine like terms: -18 + -10 = -28 -28 + 24x + 20x = 60 + -20(2 + -1x) Combine like terms: 24x + 20x = 44x -28 + 44x = 60 + -20(2 + -1x) -28 + 44x = 60 + (2 * -20 + -1x * -20) -28 + 44x = 60 + (-40 + 20x) Combine like terms: 60 + -40 = 20 -28 + 44x = 20 + 20x Solving -28 + 44x = 20 + 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. -28 + 44x + -20x = 20 + 20x + -20x Combine like terms: 44x + -20x = 24x -28 + 24x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 -28 + 24x = 20 + 0 -28 + 24x = 20 Add '28' to each side of the equation. -28 + 28 + 24x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 24x = 20 + 28 24x = 20 + 28 Combine like terms: 20 + 28 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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