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Simplifying 2(x + 4) + -4(x + 2) = 30 Reorder the terms: 2(4 + x) + -4(x + 2) = 30 (4 * 2 + x * 2) + -4(x + 2) = 30 (8 + 2x) + -4(x + 2) = 30 Reorder the terms: 8 + 2x + -4(2 + x) = 30 8 + 2x + (2 * -4 + x * -4) = 30 8 + 2x + (-8 + -4x) = 30 Reorder the terms: 8 + -8 + 2x + -4x = 30 Combine like terms: 8 + -8 = 0 0 + 2x + -4x = 30 2x + -4x = 30 Combine like terms: 2x + -4x = -2x -2x = 30 Solving -2x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-2'. x = -15 Simplifying x = -15
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