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Simplifying 4(3x + -1) = -2(x + 5) Reorder the terms: 4(-1 + 3x) = -2(x + 5) (-1 * 4 + 3x * 4) = -2(x + 5) (-4 + 12x) = -2(x + 5) Reorder the terms: -4 + 12x = -2(5 + x) -4 + 12x = (5 * -2 + x * -2) -4 + 12x = (-10 + -2x) Solving -4 + 12x = -10 + -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 = -10 + -2x + 2x Combine like terms: 12x + 2x = 14x -4 + 14x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 14x = -10 + 0 -4 + 14x = -10 Add '4' to each side of the equation. -4 + 4 + 14x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = -10 + 4 14x = -10 + 4 Combine like terms: -10 + 4 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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