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