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Simplifying 3x + 2(6x + 5) = x + -3(5x + -13) Reorder the terms: 3x + 2(5 + 6x) = x + -3(5x + -13) 3x + (5 * 2 + 6x * 2) = x + -3(5x + -13) 3x + (10 + 12x) = x + -3(5x + -13) Reorder the terms: 10 + 3x + 12x = x + -3(5x + -13) Combine like terms: 3x + 12x = 15x 10 + 15x = x + -3(5x + -13) Reorder the terms: 10 + 15x = x + -3(-13 + 5x) 10 + 15x = x + (-13 * -3 + 5x * -3) 10 + 15x = x + (39 + -15x) Reorder the terms: 10 + 15x = 39 + x + -15x Combine like terms: x + -15x = -14x 10 + 15x = 39 + -14x Solving 10 + 15x = 39 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 10 + 15x + 14x = 39 + -14x + 14x Combine like terms: 15x + 14x = 29x 10 + 29x = 39 + -14x + 14x Combine like terms: -14x + 14x = 0 10 + 29x = 39 + 0 10 + 29x = 39 Add '-10' to each side of the equation. 10 + -10 + 29x = 39 + -10 Combine like terms: 10 + -10 = 0 0 + 29x = 39 + -10 29x = 39 + -10 Combine like terms: 39 + -10 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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