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Simplifying 13x + -5(3x + -10) = 3x + 15 Reorder the terms: 13x + -5(-10 + 3x) = 3x + 15 13x + (-10 * -5 + 3x * -5) = 3x + 15 13x + (50 + -15x) = 3x + 15 Reorder the terms: 50 + 13x + -15x = 3x + 15 Combine like terms: 13x + -15x = -2x 50 + -2x = 3x + 15 Reorder the terms: 50 + -2x = 15 + 3x Solving 50 + -2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 50 + -2x + -3x = 15 + 3x + -3x Combine like terms: -2x + -3x = -5x 50 + -5x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + -5x = 15 + 0 50 + -5x = 15 Add '-50' to each side of the equation. 50 + -50 + -5x = 15 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = 15 + -50 -5x = 15 + -50 Combine like terms: 15 + -50 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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