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Simplifying 4(4x + 2) + 2(x + -3) = 12 Reorder the terms: 4(2 + 4x) + 2(x + -3) = 12 (2 * 4 + 4x * 4) + 2(x + -3) = 12 (8 + 16x) + 2(x + -3) = 12 Reorder the terms: 8 + 16x + 2(-3 + x) = 12 8 + 16x + (-3 * 2 + x * 2) = 12 8 + 16x + (-6 + 2x) = 12 Reorder the terms: 8 + -6 + 16x + 2x = 12 Combine like terms: 8 + -6 = 2 2 + 16x + 2x = 12 Combine like terms: 16x + 2x = 18x 2 + 18x = 12 Solving 2 + 18x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 18x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 18x = 12 + -2 18x = 12 + -2 Combine like terms: 12 + -2 = 10 18x = 10 Divide each side by '18'. x = 0.5555555556 Simplifying x = 0.5555555556
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