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Simplifying 2(x + -3) + 9 = 5x + -6 Reorder the terms: 2(-3 + x) + 9 = 5x + -6 (-3 * 2 + x * 2) + 9 = 5x + -6 (-6 + 2x) + 9 = 5x + -6 Reorder the terms: -6 + 9 + 2x = 5x + -6 Combine like terms: -6 + 9 = 3 3 + 2x = 5x + -6 Reorder the terms: 3 + 2x = -6 + 5x Solving 3 + 2x = -6 + 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. 3 + 2x + -5x = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = -6 + 0 3 + -3x = -6 Add '-3' to each side of the equation. 3 + -3 + -3x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -6 + -3 -3x = -6 + -3 Combine like terms: -6 + -3 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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