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Simplifying 3x + 2(2x + -1) = 4 + -2(x + -3) Reorder the terms: 3x + 2(-1 + 2x) = 4 + -2(x + -3) 3x + (-1 * 2 + 2x * 2) = 4 + -2(x + -3) 3x + (-2 + 4x) = 4 + -2(x + -3) Reorder the terms: -2 + 3x + 4x = 4 + -2(x + -3) Combine like terms: 3x + 4x = 7x -2 + 7x = 4 + -2(x + -3) Reorder the terms: -2 + 7x = 4 + -2(-3 + x) -2 + 7x = 4 + (-3 * -2 + x * -2) -2 + 7x = 4 + (6 + -2x) Combine like terms: 4 + 6 = 10 -2 + 7x = 10 + -2x Solving -2 + 7x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 7x + 2x = 10 + -2x + 2x Combine like terms: 7x + 2x = 9x -2 + 9x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 9x = 10 + 0 -2 + 9x = 10 Add '2' to each side of the equation. -2 + 2 + 9x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 10 + 2 9x = 10 + 2 Combine like terms: 10 + 2 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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