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Simplifying 4(3x + -4) + 2 = -2(-6 + 1) Reorder the terms: 4(-4 + 3x) + 2 = -2(-6 + 1) (-4 * 4 + 3x * 4) + 2 = -2(-6 + 1) (-16 + 12x) + 2 = -2(-6 + 1) Reorder the terms: -16 + 2 + 12x = -2(-6 + 1) Combine like terms: -16 + 2 = -14 -14 + 12x = -2(-6 + 1) Combine like terms: -6 + 1 = -5 -14 + 12x = -2(-5) Multiply -2 * -5 -14 + 12x = 10 Solving -14 + 12x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 12x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 10 + 14 12x = 10 + 14 Combine like terms: 10 + 14 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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