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Simplifying 6(4x + 2) + -2(2x + -12) = 16 Reorder the terms: 6(2 + 4x) + -2(2x + -12) = 16 (2 * 6 + 4x * 6) + -2(2x + -12) = 16 (12 + 24x) + -2(2x + -12) = 16 Reorder the terms: 12 + 24x + -2(-12 + 2x) = 16 12 + 24x + (-12 * -2 + 2x * -2) = 16 12 + 24x + (24 + -4x) = 16 Reorder the terms: 12 + 24 + 24x + -4x = 16 Combine like terms: 12 + 24 = 36 36 + 24x + -4x = 16 Combine like terms: 24x + -4x = 20x 36 + 20x = 16 Solving 36 + 20x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 20x = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 20x = 16 + -36 20x = 16 + -36 Combine like terms: 16 + -36 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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