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Simplifying 4x + -1(2x + 6) = 2(11 + -1x) Reorder the terms: 4x + -1(6 + 2x) = 2(11 + -1x) 4x + (6 * -1 + 2x * -1) = 2(11 + -1x) 4x + (-6 + -2x) = 2(11 + -1x) Reorder the terms: -6 + 4x + -2x = 2(11 + -1x) Combine like terms: 4x + -2x = 2x -6 + 2x = 2(11 + -1x) -6 + 2x = (11 * 2 + -1x * 2) -6 + 2x = (22 + -2x) Solving -6 + 2x = 22 + -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. -6 + 2x + 2x = 22 + -2x + 2x Combine like terms: 2x + 2x = 4x -6 + 4x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 4x = 22 + 0 -6 + 4x = 22 Add '6' to each side of the equation. -6 + 6 + 4x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 22 + 6 4x = 22 + 6 Combine like terms: 22 + 6 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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