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Simplifying -3(3x + 5) = 3x + -13x + 7 Reorder the terms: -3(5 + 3x) = 3x + -13x + 7 (5 * -3 + 3x * -3) = 3x + -13x + 7 (-15 + -9x) = 3x + -13x + 7 Reorder the terms: -15 + -9x = 7 + 3x + -13x Combine like terms: 3x + -13x = -10x -15 + -9x = 7 + -10x Solving -15 + -9x = 7 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15 + -9x + 10x = 7 + -10x + 10x Combine like terms: -9x + 10x = 1x -15 + 1x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 1x = 7 + 0 -15 + 1x = 7 Add '15' to each side of the equation. -15 + 15 + 1x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 7 + 15 1x = 7 + 15 Combine like terms: 7 + 15 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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