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Simplifying 4(x + 4) + -2(x + 2) = 2 Reorder the terms: 4(4 + x) + -2(x + 2) = 2 (4 * 4 + x * 4) + -2(x + 2) = 2 (16 + 4x) + -2(x + 2) = 2 Reorder the terms: 16 + 4x + -2(2 + x) = 2 16 + 4x + (2 * -2 + x * -2) = 2 16 + 4x + (-4 + -2x) = 2 Reorder the terms: 16 + -4 + 4x + -2x = 2 Combine like terms: 16 + -4 = 12 12 + 4x + -2x = 2 Combine like terms: 4x + -2x = 2x 12 + 2x = 2 Solving 12 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 2 + -12 2x = 2 + -12 Combine like terms: 2 + -12 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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