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Simplifying 13(x + 3) = 10x + 20 Reorder the terms: 13(3 + x) = 10x + 20 (3 * 13 + x * 13) = 10x + 20 (39 + 13x) = 10x + 20 Reorder the terms: 39 + 13x = 20 + 10x Solving 39 + 13x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 39 + 13x + -10x = 20 + 10x + -10x Combine like terms: 13x + -10x = 3x 39 + 3x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + 3x = 20 + 0 39 + 3x = 20 Add '-39' to each side of the equation. 39 + -39 + 3x = 20 + -39 Combine like terms: 39 + -39 = 0 0 + 3x = 20 + -39 3x = 20 + -39 Combine like terms: 20 + -39 = -19 3x = -19 Divide each side by '3'. x = -6.333333333 Simplifying x = -6.333333333
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