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Simplifying 5(4x + -3) = 6(x + 2) + -3 Reorder the terms: 5(-3 + 4x) = 6(x + 2) + -3 (-3 * 5 + 4x * 5) = 6(x + 2) + -3 (-15 + 20x) = 6(x + 2) + -3 Reorder the terms: -15 + 20x = 6(2 + x) + -3 -15 + 20x = (2 * 6 + x * 6) + -3 -15 + 20x = (12 + 6x) + -3 Reorder the terms: -15 + 20x = 12 + -3 + 6x Combine like terms: 12 + -3 = 9 -15 + 20x = 9 + 6x Solving -15 + 20x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 20x + -6x = 9 + 6x + -6x Combine like terms: 20x + -6x = 14x -15 + 14x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 14x = 9 + 0 -15 + 14x = 9 Add '15' to each side of the equation. -15 + 15 + 14x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 9 + 15 14x = 9 + 15 Combine like terms: 9 + 15 = 24 14x = 24 Divide each side by '14'. x = 1.714285714 Simplifying x = 1.714285714
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