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Simplifying -5(x + 2) = -3(x + 1) + -9 Reorder the terms: -5(2 + x) = -3(x + 1) + -9 (2 * -5 + x * -5) = -3(x + 1) + -9 (-10 + -5x) = -3(x + 1) + -9 Reorder the terms: -10 + -5x = -3(1 + x) + -9 -10 + -5x = (1 * -3 + x * -3) + -9 -10 + -5x = (-3 + -3x) + -9 Reorder the terms: -10 + -5x = -3 + -9 + -3x Combine like terms: -3 + -9 = -12 -10 + -5x = -12 + -3x Solving -10 + -5x = -12 + -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 + -5x + 3x = -12 + -3x + 3x Combine like terms: -5x + 3x = -2x -10 + -2x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -2x = -12 + 0 -10 + -2x = -12 Add '10' to each side of the equation. -10 + 10 + -2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -12 + 10 -2x = -12 + 10 Combine like terms: -12 + 10 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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