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Simplifying 7x + 5(2x + -3) = 9 + -7x Reorder the terms: 7x + 5(-3 + 2x) = 9 + -7x 7x + (-3 * 5 + 2x * 5) = 9 + -7x 7x + (-15 + 10x) = 9 + -7x Reorder the terms: -15 + 7x + 10x = 9 + -7x Combine like terms: 7x + 10x = 17x -15 + 17x = 9 + -7x Solving -15 + 17x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + 17x + 7x = 9 + -7x + 7x Combine like terms: 17x + 7x = 24x -15 + 24x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 24x = 9 + 0 -15 + 24x = 9 Add '15' to each side of the equation. -15 + 15 + 24x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 24x = 9 + 15 24x = 9 + 15 Combine like terms: 9 + 15 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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