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Simplifying 5(4x + -3) = 3(x + -3) + 14 Reorder the terms: 5(-3 + 4x) = 3(x + -3) + 14 (-3 * 5 + 4x * 5) = 3(x + -3) + 14 (-15 + 20x) = 3(x + -3) + 14 Reorder the terms: -15 + 20x = 3(-3 + x) + 14 -15 + 20x = (-3 * 3 + x * 3) + 14 -15 + 20x = (-9 + 3x) + 14 Reorder the terms: -15 + 20x = -9 + 14 + 3x Combine like terms: -9 + 14 = 5 -15 + 20x = 5 + 3x Solving -15 + 20x = 5 + 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 = 5 + 3x + -3x Combine like terms: 20x + -3x = 17x -15 + 17x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 17x = 5 + 0 -15 + 17x = 5 Add '15' to each side of the equation. -15 + 15 + 17x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 17x = 5 + 15 17x = 5 + 15 Combine like terms: 5 + 15 = 20 17x = 20 Divide each side by '17'. x = 1.176470588 Simplifying x = 1.176470588
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