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Simplifying 13x + -3(5 + x) = 10(3x + 6) 13x + (5 * -3 + x * -3) = 10(3x + 6) 13x + (-15 + -3x) = 10(3x + 6) Reorder the terms: -15 + 13x + -3x = 10(3x + 6) Combine like terms: 13x + -3x = 10x -15 + 10x = 10(3x + 6) Reorder the terms: -15 + 10x = 10(6 + 3x) -15 + 10x = (6 * 10 + 3x * 10) -15 + 10x = (60 + 30x) Solving -15 + 10x = 60 + 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 + 10x + -30x = 60 + 30x + -30x Combine like terms: 10x + -30x = -20x -15 + -20x = 60 + 30x + -30x Combine like terms: 30x + -30x = 0 -15 + -20x = 60 + 0 -15 + -20x = 60 Add '15' to each side of the equation. -15 + 15 + -20x = 60 + 15 Combine like terms: -15 + 15 = 0 0 + -20x = 60 + 15 -20x = 60 + 15 Combine like terms: 60 + 15 = 75 -20x = 75 Divide each side by '-20'. x = -3.75 Simplifying x = -3.75
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