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Simplifying 6x + 30 = 3(1 + 5x) Reorder the terms: 30 + 6x = 3(1 + 5x) 30 + 6x = (1 * 3 + 5x * 3) 30 + 6x = (3 + 15x) Solving 30 + 6x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + 6x + -15x = 3 + 15x + -15x Combine like terms: 6x + -15x = -9x 30 + -9x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -9x = 3 + 0 30 + -9x = 3 Add '-30' to each side of the equation. 30 + -30 + -9x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 3 + -30 -9x = 3 + -30 Combine like terms: 3 + -30 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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