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Simplifying 3x + 5(-2x + -3) = -3x + 9 Reorder the terms: 3x + 5(-3 + -2x) = -3x + 9 3x + (-3 * 5 + -2x * 5) = -3x + 9 3x + (-15 + -10x) = -3x + 9 Reorder the terms: -15 + 3x + -10x = -3x + 9 Combine like terms: 3x + -10x = -7x -15 + -7x = -3x + 9 Reorder the terms: -15 + -7x = 9 + -3x Solving -15 + -7x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + -7x + 3x = 9 + -3x + 3x Combine like terms: -7x + 3x = -4x -15 + -4x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + -4x = 9 + 0 -15 + -4x = 9 Add '15' to each side of the equation. -15 + 15 + -4x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 9 + 15 -4x = 9 + 15 Combine like terms: 9 + 15 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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