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Simplifying 2(12x + -6) = 6(2x + 5) Reorder the terms: 2(-6 + 12x) = 6(2x + 5) (-6 * 2 + 12x * 2) = 6(2x + 5) (-12 + 24x) = 6(2x + 5) Reorder the terms: -12 + 24x = 6(5 + 2x) -12 + 24x = (5 * 6 + 2x * 6) -12 + 24x = (30 + 12x) Solving -12 + 24x = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 24x + -12x = 30 + 12x + -12x Combine like terms: 24x + -12x = 12x -12 + 12x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 12x = 30 + 0 -12 + 12x = 30 Add '12' to each side of the equation. -12 + 12 + 12x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 30 + 12 12x = 30 + 12 Combine like terms: 30 + 12 = 42 12x = 42 Divide each side by '12'. x = 3.5 Simplifying x = 3.5
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