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Simplifying 5(3x + -3) = 9x + -2 Reorder the terms: 5(-3 + 3x) = 9x + -2 (-3 * 5 + 3x * 5) = 9x + -2 (-15 + 15x) = 9x + -2 Reorder the terms: -15 + 15x = -2 + 9x Solving -15 + 15x = -2 + 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. -15 + 15x + -9x = -2 + 9x + -9x Combine like terms: 15x + -9x = 6x -15 + 6x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 6x = -2 + 0 -15 + 6x = -2 Add '15' to each side of the equation. -15 + 15 + 6x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = -2 + 15 6x = -2 + 15 Combine like terms: -2 + 15 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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