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Simplifying 3 + -2(x + 4) = 5(x + -6) Reorder the terms: 3 + -2(4 + x) = 5(x + -6) 3 + (4 * -2 + x * -2) = 5(x + -6) 3 + (-8 + -2x) = 5(x + -6) Combine like terms: 3 + -8 = -5 -5 + -2x = 5(x + -6) Reorder the terms: -5 + -2x = 5(-6 + x) -5 + -2x = (-6 * 5 + x * 5) -5 + -2x = (-30 + 5x) Solving -5 + -2x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -2x + -5x = -30 + 5x + -5x Combine like terms: -2x + -5x = -7x -5 + -7x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -7x = -30 + 0 -5 + -7x = -30 Add '5' to each side of the equation. -5 + 5 + -7x = -30 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -30 + 5 -7x = -30 + 5 Combine like terms: -30 + 5 = -25 -7x = -25 Divide each side by '-7'. x = 3.571428571 Simplifying x = 3.571428571
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