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Simplifying 2 + -2(4 + x) = 4(2 + -1x) + 4x 2 + (4 * -2 + x * -2) = 4(2 + -1x) + 4x 2 + (-8 + -2x) = 4(2 + -1x) + 4x Combine like terms: 2 + -8 = -6 -6 + -2x = 4(2 + -1x) + 4x -6 + -2x = (2 * 4 + -1x * 4) + 4x -6 + -2x = (8 + -4x) + 4x Combine like terms: -4x + 4x = 0 -6 + -2x = 8 + 0 -6 + -2x = 8 Solving -6 + -2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 8 + 6 -2x = 8 + 6 Combine like terms: 8 + 6 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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