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Simplifying 5x + -3(x + -2) = -9 + 5 + -9 Reorder the terms: 5x + -3(-2 + x) = -9 + 5 + -9 5x + (-2 * -3 + x * -3) = -9 + 5 + -9 5x + (6 + -3x) = -9 + 5 + -9 Reorder the terms: 6 + 5x + -3x = -9 + 5 + -9 Combine like terms: 5x + -3x = 2x 6 + 2x = -9 + 5 + -9 Combine like terms: -9 + 5 = -4 6 + 2x = -4 + -9 Combine like terms: -4 + -9 = -13 6 + 2x = -13 Solving 6 + 2x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = -13 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -13 + -6 2x = -13 + -6 Combine like terms: -13 + -6 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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