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Simplifying 2(x + 3) + -4x = 2(11 + -2x) Reorder the terms: 2(3 + x) + -4x = 2(11 + -2x) (3 * 2 + x * 2) + -4x = 2(11 + -2x) (6 + 2x) + -4x = 2(11 + -2x) Combine like terms: 2x + -4x = -2x 6 + -2x = 2(11 + -2x) 6 + -2x = (11 * 2 + -2x * 2) 6 + -2x = (22 + -4x) Solving 6 + -2x = 22 + -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. 6 + -2x + 4x = 22 + -4x + 4x Combine like terms: -2x + 4x = 2x 6 + 2x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 2x = 22 + 0 6 + 2x = 22 Add '-6' to each side of the equation. 6 + -6 + 2x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 22 + -6 2x = 22 + -6 Combine like terms: 22 + -6 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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