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Simplifying 12 + -2(x + 3) + -4(3x + 6) = 6x Reorder the terms: 12 + -2(3 + x) + -4(3x + 6) = 6x 12 + (3 * -2 + x * -2) + -4(3x + 6) = 6x 12 + (-6 + -2x) + -4(3x + 6) = 6x Reorder the terms: 12 + -6 + -2x + -4(6 + 3x) = 6x 12 + -6 + -2x + (6 * -4 + 3x * -4) = 6x 12 + -6 + -2x + (-24 + -12x) = 6x Reorder the terms: 12 + -6 + -24 + -2x + -12x = 6x Combine like terms: 12 + -6 = 6 6 + -24 + -2x + -12x = 6x Combine like terms: 6 + -24 = -18 -18 + -2x + -12x = 6x Combine like terms: -2x + -12x = -14x -18 + -14x = 6x Solving -18 + -14x = 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. -18 + -14x + -6x = 6x + -6x Combine like terms: -14x + -6x = -20x -18 + -20x = 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -20x = 0 Add '18' to each side of the equation. -18 + 18 + -20x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -20x = 0 + 18 -20x = 0 + 18 Combine like terms: 0 + 18 = 18 -20x = 18 Divide each side by '-20'. x = -0.9 Simplifying x = -0.9
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