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Simplifying 12 + -2(x + -3) + -4(3x + 6) = 19 Reorder the terms: 12 + -2(-3 + x) + -4(3x + 6) = 19 12 + (-3 * -2 + x * -2) + -4(3x + 6) = 19 12 + (6 + -2x) + -4(3x + 6) = 19 Reorder the terms: 12 + 6 + -2x + -4(6 + 3x) = 19 12 + 6 + -2x + (6 * -4 + 3x * -4) = 19 12 + 6 + -2x + (-24 + -12x) = 19 Reorder the terms: 12 + 6 + -24 + -2x + -12x = 19 Combine like terms: 12 + 6 = 18 18 + -24 + -2x + -12x = 19 Combine like terms: 18 + -24 = -6 -6 + -2x + -12x = 19 Combine like terms: -2x + -12x = -14x -6 + -14x = 19 Solving -6 + -14x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -14x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 19 + 6 -14x = 19 + 6 Combine like terms: 19 + 6 = 25 -14x = 25 Divide each side by '-14'. x = -1.785714286 Simplifying x = -1.785714286
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