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Simplifying 3(2x + -1) = 2 + -1(x + -3) Reorder the terms: 3(-1 + 2x) = 2 + -1(x + -3) (-1 * 3 + 2x * 3) = 2 + -1(x + -3) (-3 + 6x) = 2 + -1(x + -3) Reorder the terms: -3 + 6x = 2 + -1(-3 + x) -3 + 6x = 2 + (-3 * -1 + x * -1) -3 + 6x = 2 + (3 + -1x) Combine like terms: 2 + 3 = 5 -3 + 6x = 5 + -1x Solving -3 + 6x = 5 + -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. -3 + 6x + x = 5 + -1x + x Combine like terms: 6x + x = 7x -3 + 7x = 5 + -1x + x Combine like terms: -1x + x = 0 -3 + 7x = 5 + 0 -3 + 7x = 5 Add '3' to each side of the equation. -3 + 3 + 7x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 5 + 3 7x = 5 + 3 Combine like terms: 5 + 3 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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