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Simplifying 3(5x + 1) + 35 = 9x + 2 Reorder the terms: 3(1 + 5x) + 35 = 9x + 2 (1 * 3 + 5x * 3) + 35 = 9x + 2 (3 + 15x) + 35 = 9x + 2 Reorder the terms: 3 + 35 + 15x = 9x + 2 Combine like terms: 3 + 35 = 38 38 + 15x = 9x + 2 Reorder the terms: 38 + 15x = 2 + 9x Solving 38 + 15x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 38 + 15x + -9x = 2 + 9x + -9x Combine like terms: 15x + -9x = 6x 38 + 6x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 38 + 6x = 2 + 0 38 + 6x = 2 Add '-38' to each side of the equation. 38 + -38 + 6x = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = 2 + -38 6x = 2 + -38 Combine like terms: 2 + -38 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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