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Simplifying 2x + -3 = 9 + -1(5x + -3) Reorder the terms: -3 + 2x = 9 + -1(5x + -3) Reorder the terms: -3 + 2x = 9 + -1(-3 + 5x) -3 + 2x = 9 + (-3 * -1 + 5x * -1) -3 + 2x = 9 + (3 + -5x) Combine like terms: 9 + 3 = 12 -3 + 2x = 12 + -5x Solving -3 + 2x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + 2x + 5x = 12 + -5x + 5x Combine like terms: 2x + 5x = 7x -3 + 7x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 7x = 12 + 0 -3 + 7x = 12 Add '3' to each side of the equation. -3 + 3 + 7x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 12 + 3 7x = 12 + 3 Combine like terms: 12 + 3 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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