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Simplifying x + 2(x + -4) = 2x + -8 + 6 Reorder the terms: x + 2(-4 + x) = 2x + -8 + 6 x + (-4 * 2 + x * 2) = 2x + -8 + 6 x + (-8 + 2x) = 2x + -8 + 6 Reorder the terms: -8 + x + 2x = 2x + -8 + 6 Combine like terms: x + 2x = 3x -8 + 3x = 2x + -8 + 6 Reorder the terms: -8 + 3x = -8 + 6 + 2x Combine like terms: -8 + 6 = -2 -8 + 3x = -2 + 2x Solving -8 + 3x = -2 + 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. -8 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -8 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 1x = -2 + 0 -8 + 1x = -2 Add '8' to each side of the equation. -8 + 8 + 1x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -2 + 8 1x = -2 + 8 Combine like terms: -2 + 8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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