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Simplifying 2(3 + -2x) = 7(x + 4) (3 * 2 + -2x * 2) = 7(x + 4) (6 + -4x) = 7(x + 4) Reorder the terms: 6 + -4x = 7(4 + x) 6 + -4x = (4 * 7 + x * 7) 6 + -4x = (28 + 7x) Solving 6 + -4x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -4x + -7x = 28 + 7x + -7x Combine like terms: -4x + -7x = -11x 6 + -11x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -11x = 28 + 0 6 + -11x = 28 Add '-6' to each side of the equation. 6 + -6 + -11x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 28 + -6 -11x = 28 + -6 Combine like terms: 28 + -6 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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