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Simplifying 3(x + 4x) = 5(x + -2) Combine like terms: x + 4x = 5x 3(5x) = 5(x + -2) Remove parenthesis around (5x) 3 * 5x = 5(x + -2) Multiply 3 * 5 15x = 5(x + -2) Reorder the terms: 15x = 5(-2 + x) 15x = (-2 * 5 + x * 5) 15x = (-10 + 5x) Solving 15x = -10 + 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. 15x + -5x = -10 + 5x + -5x Combine like terms: 15x + -5x = 10x 10x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 10x = -10 + 0 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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