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Simplifying 3(2x + 17) = 13 + 2(4x + 2) Reorder the terms: 3(17 + 2x) = 13 + 2(4x + 2) (17 * 3 + 2x * 3) = 13 + 2(4x + 2) (51 + 6x) = 13 + 2(4x + 2) Reorder the terms: 51 + 6x = 13 + 2(2 + 4x) 51 + 6x = 13 + (2 * 2 + 4x * 2) 51 + 6x = 13 + (4 + 8x) Combine like terms: 13 + 4 = 17 51 + 6x = 17 + 8x Solving 51 + 6x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 51 + 6x + -8x = 17 + 8x + -8x Combine like terms: 6x + -8x = -2x 51 + -2x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 51 + -2x = 17 + 0 51 + -2x = 17 Add '-51' to each side of the equation. 51 + -51 + -2x = 17 + -51 Combine like terms: 51 + -51 = 0 0 + -2x = 17 + -51 -2x = 17 + -51 Combine like terms: 17 + -51 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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