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Simplifying 3(5x + 34) = 3(2x + 4) Reorder the terms: 3(34 + 5x) = 3(2x + 4) (34 * 3 + 5x * 3) = 3(2x + 4) (102 + 15x) = 3(2x + 4) Reorder the terms: 102 + 15x = 3(4 + 2x) 102 + 15x = (4 * 3 + 2x * 3) 102 + 15x = (12 + 6x) Solving 102 + 15x = 12 + 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. 102 + 15x + -6x = 12 + 6x + -6x Combine like terms: 15x + -6x = 9x 102 + 9x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 102 + 9x = 12 + 0 102 + 9x = 12 Add '-102' to each side of the equation. 102 + -102 + 9x = 12 + -102 Combine like terms: 102 + -102 = 0 0 + 9x = 12 + -102 9x = 12 + -102 Combine like terms: 12 + -102 = -90 9x = -90 Divide each side by '9'. x = -10 Simplifying x = -10
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