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Simplifying 12(x + 5) = 13x + 58 Reorder the terms: 12(5 + x) = 13x + 58 (5 * 12 + x * 12) = 13x + 58 (60 + 12x) = 13x + 58 Reorder the terms: 60 + 12x = 58 + 13x Solving 60 + 12x = 58 + 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. 60 + 12x + -13x = 58 + 13x + -13x Combine like terms: 12x + -13x = -1x 60 + -1x = 58 + 13x + -13x Combine like terms: 13x + -13x = 0 60 + -1x = 58 + 0 60 + -1x = 58 Add '-60' to each side of the equation. 60 + -60 + -1x = 58 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 58 + -60 -1x = 58 + -60 Combine like terms: 58 + -60 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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