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Simplifying 12(3x + -6) + -6(2x + -3) = 4x + -50 Reorder the terms: 12(-6 + 3x) + -6(2x + -3) = 4x + -50 (-6 * 12 + 3x * 12) + -6(2x + -3) = 4x + -50 (-72 + 36x) + -6(2x + -3) = 4x + -50 Reorder the terms: -72 + 36x + -6(-3 + 2x) = 4x + -50 -72 + 36x + (-3 * -6 + 2x * -6) = 4x + -50 -72 + 36x + (18 + -12x) = 4x + -50 Reorder the terms: -72 + 18 + 36x + -12x = 4x + -50 Combine like terms: -72 + 18 = -54 -54 + 36x + -12x = 4x + -50 Combine like terms: 36x + -12x = 24x -54 + 24x = 4x + -50 Reorder the terms: -54 + 24x = -50 + 4x Solving -54 + 24x = -50 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -54 + 24x + -4x = -50 + 4x + -4x Combine like terms: 24x + -4x = 20x -54 + 20x = -50 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 + 20x = -50 + 0 -54 + 20x = -50 Add '54' to each side of the equation. -54 + 54 + 20x = -50 + 54 Combine like terms: -54 + 54 = 0 0 + 20x = -50 + 54 20x = -50 + 54 Combine like terms: -50 + 54 = 4 20x = 4 Divide each side by '20'. x = 0.2 Simplifying x = 0.2
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