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Simplifying 3(x + -3) + 2x + 9 = 2x + 2(x + -1) Reorder the terms: 3(-3 + x) + 2x + 9 = 2x + 2(x + -1) (-3 * 3 + x * 3) + 2x + 9 = 2x + 2(x + -1) (-9 + 3x) + 2x + 9 = 2x + 2(x + -1) Reorder the terms: -9 + 9 + 3x + 2x = 2x + 2(x + -1) Combine like terms: -9 + 9 = 0 0 + 3x + 2x = 2x + 2(x + -1) 3x + 2x = 2x + 2(x + -1) Combine like terms: 3x + 2x = 5x 5x = 2x + 2(x + -1) Reorder the terms: 5x = 2x + 2(-1 + x) 5x = 2x + (-1 * 2 + x * 2) 5x = 2x + (-2 + 2x) Reorder the terms: 5x = -2 + 2x + 2x Combine like terms: 2x + 2x = 4x 5x = -2 + 4x Solving 5x = -2 + 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. 5x + -4x = -2 + 4x + -4x Combine like terms: 5x + -4x = 1x 1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 1x = -2 + 0 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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