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Simplifying 3(x + 17) = 6(x + 5) Reorder the terms: 3(17 + x) = 6(x + 5) (17 * 3 + x * 3) = 6(x + 5) (51 + 3x) = 6(x + 5) Reorder the terms: 51 + 3x = 6(5 + x) 51 + 3x = (5 * 6 + x * 6) 51 + 3x = (30 + 6x) Solving 51 + 3x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 51 + 3x + -6x = 30 + 6x + -6x Combine like terms: 3x + -6x = -3x 51 + -3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 51 + -3x = 30 + 0 51 + -3x = 30 Add '-51' to each side of the equation. 51 + -51 + -3x = 30 + -51 Combine like terms: 51 + -51 = 0 0 + -3x = 30 + -51 -3x = 30 + -51 Combine like terms: 30 + -51 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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