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Simplifying 2(3 + -1x) = 5(x + 4) (3 * 2 + -1x * 2) = 5(x + 4) (6 + -2x) = 5(x + 4) Reorder the terms: 6 + -2x = 5(4 + x) 6 + -2x = (4 * 5 + x * 5) 6 + -2x = (20 + 5x) Solving 6 + -2x = 20 + 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. 6 + -2x + -5x = 20 + 5x + -5x Combine like terms: -2x + -5x = -7x 6 + -7x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -7x = 20 + 0 6 + -7x = 20 Add '-6' to each side of the equation. 6 + -6 + -7x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 20 + -6 -7x = 20 + -6 Combine like terms: 20 + -6 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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