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Simplifying 4x + -2(x + 7) = 2(3 + -1x) Reorder the terms: 4x + -2(7 + x) = 2(3 + -1x) 4x + (7 * -2 + x * -2) = 2(3 + -1x) 4x + (-14 + -2x) = 2(3 + -1x) Reorder the terms: -14 + 4x + -2x = 2(3 + -1x) Combine like terms: 4x + -2x = 2x -14 + 2x = 2(3 + -1x) -14 + 2x = (3 * 2 + -1x * 2) -14 + 2x = (6 + -2x) Solving -14 + 2x = 6 + -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. -14 + 2x + 2x = 6 + -2x + 2x Combine like terms: 2x + 2x = 4x -14 + 4x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 4x = 6 + 0 -14 + 4x = 6 Add '14' to each side of the equation. -14 + 14 + 4x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 6 + 14 4x = 6 + 14 Combine like terms: 6 + 14 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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