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Simplifying 3(2x + -5) = 2(5 + -15x) Reorder the terms: 3(-5 + 2x) = 2(5 + -15x) (-5 * 3 + 2x * 3) = 2(5 + -15x) (-15 + 6x) = 2(5 + -15x) -15 + 6x = (5 * 2 + -15x * 2) -15 + 6x = (10 + -30x) Solving -15 + 6x = 10 + -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. -15 + 6x + 30x = 10 + -30x + 30x Combine like terms: 6x + 30x = 36x -15 + 36x = 10 + -30x + 30x Combine like terms: -30x + 30x = 0 -15 + 36x = 10 + 0 -15 + 36x = 10 Add '15' to each side of the equation. -15 + 15 + 36x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 36x = 10 + 15 36x = 10 + 15 Combine like terms: 10 + 15 = 25 36x = 25 Divide each side by '36'. x = 0.6944444444 Simplifying x = 0.6944444444
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