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Simplifying 5(4x + -3) = 6(3x + 4) Reorder the terms: 5(-3 + 4x) = 6(3x + 4) (-3 * 5 + 4x * 5) = 6(3x + 4) (-15 + 20x) = 6(3x + 4) Reorder the terms: -15 + 20x = 6(4 + 3x) -15 + 20x = (4 * 6 + 3x * 6) -15 + 20x = (24 + 18x) Solving -15 + 20x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -15 + 20x + -18x = 24 + 18x + -18x Combine like terms: 20x + -18x = 2x -15 + 2x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 -15 + 2x = 24 + 0 -15 + 2x = 24 Add '15' to each side of the equation. -15 + 15 + 2x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 24 + 15 2x = 24 + 15 Combine like terms: 24 + 15 = 39 2x = 39 Divide each side by '2'. x = 19.5 Simplifying x = 19.5
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