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Simplifying -4(3x + 1) = 2(x + -9) Reorder the terms: -4(1 + 3x) = 2(x + -9) (1 * -4 + 3x * -4) = 2(x + -9) (-4 + -12x) = 2(x + -9) Reorder the terms: -4 + -12x = 2(-9 + x) -4 + -12x = (-9 * 2 + x * 2) -4 + -12x = (-18 + 2x) Solving -4 + -12x = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -12x + -2x = -18 + 2x + -2x Combine like terms: -12x + -2x = -14x -4 + -14x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -14x = -18 + 0 -4 + -14x = -18 Add '4' to each side of the equation. -4 + 4 + -14x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = -18 + 4 -14x = -18 + 4 Combine like terms: -18 + 4 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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