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Simplifying 5(3x + 7) = 12 + 13x Reorder the terms: 5(7 + 3x) = 12 + 13x (7 * 5 + 3x * 5) = 12 + 13x (35 + 15x) = 12 + 13x Solving 35 + 15x = 12 + 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. 35 + 15x + -13x = 12 + 13x + -13x Combine like terms: 15x + -13x = 2x 35 + 2x = 12 + 13x + -13x Combine like terms: 13x + -13x = 0 35 + 2x = 12 + 0 35 + 2x = 12 Add '-35' to each side of the equation. 35 + -35 + 2x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 12 + -35 2x = 12 + -35 Combine like terms: 12 + -35 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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