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Simplifying 3(3x + 1) = 30 + 3(2x + -5) Reorder the terms: 3(1 + 3x) = 30 + 3(2x + -5) (1 * 3 + 3x * 3) = 30 + 3(2x + -5) (3 + 9x) = 30 + 3(2x + -5) Reorder the terms: 3 + 9x = 30 + 3(-5 + 2x) 3 + 9x = 30 + (-5 * 3 + 2x * 3) 3 + 9x = 30 + (-15 + 6x) Combine like terms: 30 + -15 = 15 3 + 9x = 15 + 6x Solving 3 + 9x = 15 + 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. 3 + 9x + -6x = 15 + 6x + -6x Combine like terms: 9x + -6x = 3x 3 + 3x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 3x = 15 + 0 3 + 3x = 15 Add '-3' to each side of the equation. 3 + -3 + 3x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 15 + -3 3x = 15 + -3 Combine like terms: 15 + -3 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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