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Simplifying 3(3x + 1) = 3(4x + -5) Reorder the terms: 3(1 + 3x) = 3(4x + -5) (1 * 3 + 3x * 3) = 3(4x + -5) (3 + 9x) = 3(4x + -5) Reorder the terms: 3 + 9x = 3(-5 + 4x) 3 + 9x = (-5 * 3 + 4x * 3) 3 + 9x = (-15 + 12x) Solving 3 + 9x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 9x + -12x = -15 + 12x + -12x Combine like terms: 9x + -12x = -3x 3 + -3x = -15 + 12x + -12x Combine like terms: 12x + -12x = 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 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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