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Simplifying 3(6x + -5) = 5(x + 10) Reorder the terms: 3(-5 + 6x) = 5(x + 10) (-5 * 3 + 6x * 3) = 5(x + 10) (-15 + 18x) = 5(x + 10) Reorder the terms: -15 + 18x = 5(10 + x) -15 + 18x = (10 * 5 + x * 5) -15 + 18x = (50 + 5x) Solving -15 + 18x = 50 + 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. -15 + 18x + -5x = 50 + 5x + -5x Combine like terms: 18x + -5x = 13x -15 + 13x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 13x = 50 + 0 -15 + 13x = 50 Add '15' to each side of the equation. -15 + 15 + 13x = 50 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 50 + 15 13x = 50 + 15 Combine like terms: 50 + 15 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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