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Simplifying 13(x + -2) = 2x + 62 Reorder the terms: 13(-2 + x) = 2x + 62 (-2 * 13 + x * 13) = 2x + 62 (-26 + 13x) = 2x + 62 Reorder the terms: -26 + 13x = 62 + 2x Solving -26 + 13x = 62 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -26 + 13x + -2x = 62 + 2x + -2x Combine like terms: 13x + -2x = 11x -26 + 11x = 62 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 11x = 62 + 0 -26 + 11x = 62 Add '26' to each side of the equation. -26 + 26 + 11x = 62 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = 62 + 26 11x = 62 + 26 Combine like terms: 62 + 26 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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