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Simplifying -3(x + -2) + -5(x + 3) = 0 Reorder the terms: -3(-2 + x) + -5(x + 3) = 0 (-2 * -3 + x * -3) + -5(x + 3) = 0 (6 + -3x) + -5(x + 3) = 0 Reorder the terms: 6 + -3x + -5(3 + x) = 0 6 + -3x + (3 * -5 + x * -5) = 0 6 + -3x + (-15 + -5x) = 0 Reorder the terms: 6 + -15 + -3x + -5x = 0 Combine like terms: 6 + -15 = -9 -9 + -3x + -5x = 0 Combine like terms: -3x + -5x = -8x -9 + -8x = 0 Solving -9 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 0 + 9 -8x = 0 + 9 Combine like terms: 0 + 9 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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