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Simplifying -4(3x + 2) = 2(x + 5) Reorder the terms: -4(2 + 3x) = 2(x + 5) (2 * -4 + 3x * -4) = 2(x + 5) (-8 + -12x) = 2(x + 5) Reorder the terms: -8 + -12x = 2(5 + x) -8 + -12x = (5 * 2 + x * 2) -8 + -12x = (10 + 2x) Solving -8 + -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. -8 + -12x + -2x = 10 + 2x + -2x Combine like terms: -12x + -2x = -14x -8 + -14x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -14x = 10 + 0 -8 + -14x = 10 Add '8' to each side of the equation. -8 + 8 + -14x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -14x = 10 + 8 -14x = 10 + 8 Combine like terms: 10 + 8 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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