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Simplifying 3(x + 4) + -2(7 + -2x) = 3 + -4x Reorder the terms: 3(4 + x) + -2(7 + -2x) = 3 + -4x (4 * 3 + x * 3) + -2(7 + -2x) = 3 + -4x (12 + 3x) + -2(7 + -2x) = 3 + -4x 12 + 3x + (7 * -2 + -2x * -2) = 3 + -4x 12 + 3x + (-14 + 4x) = 3 + -4x Reorder the terms: 12 + -14 + 3x + 4x = 3 + -4x Combine like terms: 12 + -14 = -2 -2 + 3x + 4x = 3 + -4x Combine like terms: 3x + 4x = 7x -2 + 7x = 3 + -4x Solving -2 + 7x = 3 + -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. -2 + 7x + 4x = 3 + -4x + 4x Combine like terms: 7x + 4x = 11x -2 + 11x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 11x = 3 + 0 -2 + 11x = 3 Add '2' to each side of the equation. -2 + 2 + 11x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 3 + 2 11x = 3 + 2 Combine like terms: 3 + 2 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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