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Simplifying 4(3x + -5) = -2(x + 7) Reorder the terms: 4(-5 + 3x) = -2(x + 7) (-5 * 4 + 3x * 4) = -2(x + 7) (-20 + 12x) = -2(x + 7) Reorder the terms: -20 + 12x = -2(7 + x) -20 + 12x = (7 * -2 + x * -2) -20 + 12x = (-14 + -2x) Solving -20 + 12x = -14 + -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. -20 + 12x + 2x = -14 + -2x + 2x Combine like terms: 12x + 2x = 14x -20 + 14x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 14x = -14 + 0 -20 + 14x = -14 Add '20' to each side of the equation. -20 + 20 + 14x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = -14 + 20 14x = -14 + 20 Combine like terms: -14 + 20 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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