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Simplifying 5(4x + -3) = 3(x + 5) + -6 Reorder the terms: 5(-3 + 4x) = 3(x + 5) + -6 (-3 * 5 + 4x * 5) = 3(x + 5) + -6 (-15 + 20x) = 3(x + 5) + -6 Reorder the terms: -15 + 20x = 3(5 + x) + -6 -15 + 20x = (5 * 3 + x * 3) + -6 -15 + 20x = (15 + 3x) + -6 Reorder the terms: -15 + 20x = 15 + -6 + 3x Combine like terms: 15 + -6 = 9 -15 + 20x = 9 + 3x Solving -15 + 20x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 20x + -3x = 9 + 3x + -3x Combine like terms: 20x + -3x = 17x -15 + 17x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 17x = 9 + 0 -15 + 17x = 9 Add '15' to each side of the equation. -15 + 15 + 17x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 17x = 9 + 15 17x = 9 + 15 Combine like terms: 9 + 15 = 24 17x = 24 Divide each side by '17'. x = 1.411764706 Simplifying x = 1.411764706
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