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Simplifying 3(2x + 3x) = 5(6x + -20) Combine like terms: 2x + 3x = 5x 3(5x) = 5(6x + -20) Remove parenthesis around (5x) 3 * 5x = 5(6x + -20) Multiply 3 * 5 15x = 5(6x + -20) Reorder the terms: 15x = 5(-20 + 6x) 15x = (-20 * 5 + 6x * 5) 15x = (-100 + 30x) Solving 15x = -100 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 15x + -30x = -100 + 30x + -30x Combine like terms: 15x + -30x = -15x -15x = -100 + 30x + -30x Combine like terms: 30x + -30x = 0 -15x = -100 + 0 -15x = -100 Divide each side by '-15'. x = 6.666666667 Simplifying x = 6.666666667
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