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Simplifying 5(4x + -6) = (5 + 8x) Reorder the terms: 5(-6 + 4x) = (5 + 8x) (-6 * 5 + 4x * 5) = (5 + 8x) (-30 + 20x) = (5 + 8x) Remove parenthesis around (5 + 8x) -30 + 20x = 5 + 8x Solving -30 + 20x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -30 + 20x + -8x = 5 + 8x + -8x Combine like terms: 20x + -8x = 12x -30 + 12x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + 12x = 5 + 0 -30 + 12x = 5 Add '30' to each side of the equation. -30 + 30 + 12x = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 5 + 30 12x = 5 + 30 Combine like terms: 5 + 30 = 35 12x = 35 Divide each side by '12'. x = 2.916666667 Simplifying x = 2.916666667
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