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Simplifying 2x + -3(3x + -1) = 4(x + 2) Reorder the terms: 2x + -3(-1 + 3x) = 4(x + 2) 2x + (-1 * -3 + 3x * -3) = 4(x + 2) 2x + (3 + -9x) = 4(x + 2) Reorder the terms: 3 + 2x + -9x = 4(x + 2) Combine like terms: 2x + -9x = -7x 3 + -7x = 4(x + 2) Reorder the terms: 3 + -7x = 4(2 + x) 3 + -7x = (2 * 4 + x * 4) 3 + -7x = (8 + 4x) Solving 3 + -7x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -7x + -4x = 8 + 4x + -4x Combine like terms: -7x + -4x = -11x 3 + -11x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -11x = 8 + 0 3 + -11x = 8 Add '-3' to each side of the equation. 3 + -3 + -11x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = 8 + -3 -11x = 8 + -3 Combine like terms: 8 + -3 = 5 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545
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