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Simplifying 9 + 5(2 + -1x) = -3(x + 5) 9 + (2 * 5 + -1x * 5) = -3(x + 5) 9 + (10 + -5x) = -3(x + 5) Combine like terms: 9 + 10 = 19 19 + -5x = -3(x + 5) Reorder the terms: 19 + -5x = -3(5 + x) 19 + -5x = (5 * -3 + x * -3) 19 + -5x = (-15 + -3x) Solving 19 + -5x = -15 + -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. 19 + -5x + 3x = -15 + -3x + 3x Combine like terms: -5x + 3x = -2x 19 + -2x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + -2x = -15 + 0 19 + -2x = -15 Add '-19' to each side of the equation. 19 + -19 + -2x = -15 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = -15 + -19 -2x = -15 + -19 Combine like terms: -15 + -19 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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