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Simplifying 4x + 5(7x + -3) = 11x + 3 Reorder the terms: 4x + 5(-3 + 7x) = 11x + 3 4x + (-3 * 5 + 7x * 5) = 11x + 3 4x + (-15 + 35x) = 11x + 3 Reorder the terms: -15 + 4x + 35x = 11x + 3 Combine like terms: 4x + 35x = 39x -15 + 39x = 11x + 3 Reorder the terms: -15 + 39x = 3 + 11x Solving -15 + 39x = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -15 + 39x + -11x = 3 + 11x + -11x Combine like terms: 39x + -11x = 28x -15 + 28x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 -15 + 28x = 3 + 0 -15 + 28x = 3 Add '15' to each side of the equation. -15 + 15 + 28x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 28x = 3 + 15 28x = 3 + 15 Combine like terms: 3 + 15 = 18 28x = 18 Divide each side by '28'. x = 0.6428571429 Simplifying x = 0.6428571429
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