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Simplifying 9 + -5(x + -2) = 7 + -3(x + 3) Reorder the terms: 9 + -5(-2 + x) = 7 + -3(x + 3) 9 + (-2 * -5 + x * -5) = 7 + -3(x + 3) 9 + (10 + -5x) = 7 + -3(x + 3) Combine like terms: 9 + 10 = 19 19 + -5x = 7 + -3(x + 3) Reorder the terms: 19 + -5x = 7 + -3(3 + x) 19 + -5x = 7 + (3 * -3 + x * -3) 19 + -5x = 7 + (-9 + -3x) Combine like terms: 7 + -9 = -2 19 + -5x = -2 + -3x Solving 19 + -5x = -2 + -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 = -2 + -3x + 3x Combine like terms: -5x + 3x = -2x 19 + -2x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + -2x = -2 + 0 19 + -2x = -2 Add '-19' to each side of the equation. 19 + -19 + -2x = -2 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = -2 + -19 -2x = -2 + -19 Combine like terms: -2 + -19 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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