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Simplifying 5(3x + -1) = 3(3x + 1) Reorder the terms: 5(-1 + 3x) = 3(3x + 1) (-1 * 5 + 3x * 5) = 3(3x + 1) (-5 + 15x) = 3(3x + 1) Reorder the terms: -5 + 15x = 3(1 + 3x) -5 + 15x = (1 * 3 + 3x * 3) -5 + 15x = (3 + 9x) Solving -5 + 15x = 3 + 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. -5 + 15x + -9x = 3 + 9x + -9x Combine like terms: 15x + -9x = 6x -5 + 6x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 6x = 3 + 0 -5 + 6x = 3 Add '5' to each side of the equation. -5 + 5 + 6x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 3 + 5 6x = 3 + 5 Combine like terms: 3 + 5 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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