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Simplifying 7x + 3(2x + -3) = 5x + -3(2x + -1) Reorder the terms: 7x + 3(-3 + 2x) = 5x + -3(2x + -1) 7x + (-3 * 3 + 2x * 3) = 5x + -3(2x + -1) 7x + (-9 + 6x) = 5x + -3(2x + -1) Reorder the terms: -9 + 7x + 6x = 5x + -3(2x + -1) Combine like terms: 7x + 6x = 13x -9 + 13x = 5x + -3(2x + -1) Reorder the terms: -9 + 13x = 5x + -3(-1 + 2x) -9 + 13x = 5x + (-1 * -3 + 2x * -3) -9 + 13x = 5x + (3 + -6x) Reorder the terms: -9 + 13x = 3 + 5x + -6x Combine like terms: 5x + -6x = -1x -9 + 13x = 3 + -1x Solving -9 + 13x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 13x + x = 3 + -1x + x Combine like terms: 13x + x = 14x -9 + 14x = 3 + -1x + x Combine like terms: -1x + x = 0 -9 + 14x = 3 + 0 -9 + 14x = 3 Add '9' to each side of the equation. -9 + 9 + 14x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 3 + 9 14x = 3 + 9 Combine like terms: 3 + 9 = 12 14x = 12 Divide each side by '14'. x = 0.8571428571 Simplifying x = 0.8571428571
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