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Simplifying 2 + -2x = 4(3x + -5) Reorder the terms: 2 + -2x = 4(-5 + 3x) 2 + -2x = (-5 * 4 + 3x * 4) 2 + -2x = (-20 + 12x) Solving 2 + -2x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + -2x + -12x = -20 + 12x + -12x Combine like terms: -2x + -12x = -14x 2 + -14x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -14x = -20 + 0 2 + -14x = -20 Add '-2' to each side of the equation. 2 + -2 + -14x = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = -20 + -2 -14x = -20 + -2 Combine like terms: -20 + -2 = -22 -14x = -22 Divide each side by '-14'. x = 1.571428571 Simplifying x = 1.571428571
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