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Simplifying -2(x + 5) = -3x + 9 Reorder the terms: -2(5 + x) = -3x + 9 (5 * -2 + x * -2) = -3x + 9 (-10 + -2x) = -3x + 9 Reorder the terms: -10 + -2x = 9 + -3x Solving -10 + -2x = 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. -10 + -2x + 3x = 9 + -3x + 3x Combine like terms: -2x + 3x = 1x -10 + 1x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 1x = 9 + 0 -10 + 1x = 9 Add '10' to each side of the equation. -10 + 10 + 1x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 9 + 10 1x = 9 + 10 Combine like terms: 9 + 10 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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