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Simplifying 3(3x + -5) = 2x + -9 + 3 Reorder the terms: 3(-5 + 3x) = 2x + -9 + 3 (-5 * 3 + 3x * 3) = 2x + -9 + 3 (-15 + 9x) = 2x + -9 + 3 Reorder the terms: -15 + 9x = -9 + 3 + 2x Combine like terms: -9 + 3 = -6 -15 + 9x = -6 + 2x Solving -15 + 9x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 9x + -2x = -6 + 2x + -2x Combine like terms: 9x + -2x = 7x -15 + 7x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 7x = -6 + 0 -15 + 7x = -6 Add '15' to each side of the equation. -15 + 15 + 7x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -6 + 15 7x = -6 + 15 Combine like terms: -6 + 15 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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