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Simplifying 6x + -1(4 + 2x) = 2(x + 4) 6x + (4 * -1 + 2x * -1) = 2(x + 4) 6x + (-4 + -2x) = 2(x + 4) Reorder the terms: -4 + 6x + -2x = 2(x + 4) Combine like terms: 6x + -2x = 4x -4 + 4x = 2(x + 4) Reorder the terms: -4 + 4x = 2(4 + x) -4 + 4x = (4 * 2 + x * 2) -4 + 4x = (8 + 2x) Solving -4 + 4x = 8 + 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. -4 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 2x = 8 + 0 -4 + 2x = 8 Add '4' to each side of the equation. -4 + 4 + 2x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 8 + 4 2x = 8 + 4 Combine like terms: 8 + 4 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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