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Simplifying 7(2 + 3x) + 2 = 13x + 80 (2 * 7 + 3x * 7) + 2 = 13x + 80 (14 + 21x) + 2 = 13x + 80 Reorder the terms: 14 + 2 + 21x = 13x + 80 Combine like terms: 14 + 2 = 16 16 + 21x = 13x + 80 Reorder the terms: 16 + 21x = 80 + 13x Solving 16 + 21x = 80 + 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. 16 + 21x + -13x = 80 + 13x + -13x Combine like terms: 21x + -13x = 8x 16 + 8x = 80 + 13x + -13x Combine like terms: 13x + -13x = 0 16 + 8x = 80 + 0 16 + 8x = 80 Add '-16' to each side of the equation. 16 + -16 + 8x = 80 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 80 + -16 8x = 80 + -16 Combine like terms: 80 + -16 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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