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Simplifying 5(x + 2) = 13x + 2 Reorder the terms: 5(2 + x) = 13x + 2 (2 * 5 + x * 5) = 13x + 2 (10 + 5x) = 13x + 2 Reorder the terms: 10 + 5x = 2 + 13x Solving 10 + 5x = 2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 10 + 5x + -13x = 2 + 13x + -13x Combine like terms: 5x + -13x = -8x 10 + -8x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 10 + -8x = 2 + 0 10 + -8x = 2 Add '-10' to each side of the equation. 10 + -10 + -8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 2 + -10 -8x = 2 + -10 Combine like terms: 2 + -10 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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