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Simplifying 3x + 10(x + 2) = 13 + -7x Reorder the terms: 3x + 10(2 + x) = 13 + -7x 3x + (2 * 10 + x * 10) = 13 + -7x 3x + (20 + 10x) = 13 + -7x Reorder the terms: 20 + 3x + 10x = 13 + -7x Combine like terms: 3x + 10x = 13x 20 + 13x = 13 + -7x Solving 20 + 13x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + 13x + 7x = 13 + -7x + 7x Combine like terms: 13x + 7x = 20x 20 + 20x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 20x = 13 + 0 20 + 20x = 13 Add '-20' to each side of the equation. 20 + -20 + 20x = 13 + -20 Combine like terms: 20 + -20 = 0 0 + 20x = 13 + -20 20x = 13 + -20 Combine like terms: 13 + -20 = -7 20x = -7 Divide each side by '20'. x = -0.35 Simplifying x = -0.35
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