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Simplifying 2x + -9 = 5x + -3(3x + 2) Reorder the terms: -9 + 2x = 5x + -3(3x + 2) Reorder the terms: -9 + 2x = 5x + -3(2 + 3x) -9 + 2x = 5x + (2 * -3 + 3x * -3) -9 + 2x = 5x + (-6 + -9x) Reorder the terms: -9 + 2x = -6 + 5x + -9x Combine like terms: 5x + -9x = -4x -9 + 2x = -6 + -4x Solving -9 + 2x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + 2x + 4x = -6 + -4x + 4x Combine like terms: 2x + 4x = 6x -9 + 6x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 6x = -6 + 0 -9 + 6x = -6 Add '9' to each side of the equation. -9 + 9 + 6x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -6 + 9 6x = -6 + 9 Combine like terms: -6 + 9 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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