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Simplifying 3(4 + 12x) + -6(2x + 3) = 36 + 2(3x + 2) (4 * 3 + 12x * 3) + -6(2x + 3) = 36 + 2(3x + 2) (12 + 36x) + -6(2x + 3) = 36 + 2(3x + 2) Reorder the terms: 12 + 36x + -6(3 + 2x) = 36 + 2(3x + 2) 12 + 36x + (3 * -6 + 2x * -6) = 36 + 2(3x + 2) 12 + 36x + (-18 + -12x) = 36 + 2(3x + 2) Reorder the terms: 12 + -18 + 36x + -12x = 36 + 2(3x + 2) Combine like terms: 12 + -18 = -6 -6 + 36x + -12x = 36 + 2(3x + 2) Combine like terms: 36x + -12x = 24x -6 + 24x = 36 + 2(3x + 2) Reorder the terms: -6 + 24x = 36 + 2(2 + 3x) -6 + 24x = 36 + (2 * 2 + 3x * 2) -6 + 24x = 36 + (4 + 6x) Combine like terms: 36 + 4 = 40 -6 + 24x = 40 + 6x Solving -6 + 24x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 24x + -6x = 40 + 6x + -6x Combine like terms: 24x + -6x = 18x -6 + 18x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 18x = 40 + 0 -6 + 18x = 40 Add '6' to each side of the equation. -6 + 6 + 18x = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 40 + 6 18x = 40 + 6 Combine like terms: 40 + 6 = 46 18x = 46 Divide each side by '18'. x = 2.555555556 Simplifying x = 2.555555556
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