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Simplifying 4x + 2(3 + -2x) * 6 + -6 = 0 Reorder the terms for easier multiplication: 4x + 2 * 6(3 + -2x) + -6 = 0 Multiply 2 * 6 4x + 12(3 + -2x) + -6 = 0 4x + (3 * 12 + -2x * 12) + -6 = 0 4x + (36 + -24x) + -6 = 0 Reorder the terms: 36 + -6 + 4x + -24x = 0 Combine like terms: 36 + -6 = 30 30 + 4x + -24x = 0 Combine like terms: 4x + -24x = -20x 30 + -20x = 0 Solving 30 + -20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -20x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -20x = 0 + -30 -20x = 0 + -30 Combine like terms: 0 + -30 = -30 -20x = -30 Divide each side by '-20'. x = 1.5 Simplifying x = 1.5
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