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Simplifying 3(3x + -1) = 5(x + 9) Reorder the terms: 3(-1 + 3x) = 5(x + 9) (-1 * 3 + 3x * 3) = 5(x + 9) (-3 + 9x) = 5(x + 9) Reorder the terms: -3 + 9x = 5(9 + x) -3 + 9x = (9 * 5 + x * 5) -3 + 9x = (45 + 5x) Solving -3 + 9x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 9x + -5x = 45 + 5x + -5x Combine like terms: 9x + -5x = 4x -3 + 4x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 4x = 45 + 0 -3 + 4x = 45 Add '3' to each side of the equation. -3 + 3 + 4x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 45 + 3 4x = 45 + 3 Combine like terms: 45 + 3 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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