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Simplifying 5 + 3(2 + -3x) = 5x + 3(2x + -3) 5 + (2 * 3 + -3x * 3) = 5x + 3(2x + -3) 5 + (6 + -9x) = 5x + 3(2x + -3) Combine like terms: 5 + 6 = 11 11 + -9x = 5x + 3(2x + -3) Reorder the terms: 11 + -9x = 5x + 3(-3 + 2x) 11 + -9x = 5x + (-3 * 3 + 2x * 3) 11 + -9x = 5x + (-9 + 6x) Reorder the terms: 11 + -9x = -9 + 5x + 6x Combine like terms: 5x + 6x = 11x 11 + -9x = -9 + 11x Solving 11 + -9x = -9 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 11 + -9x + -11x = -9 + 11x + -11x Combine like terms: -9x + -11x = -20x 11 + -20x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 11 + -20x = -9 + 0 11 + -20x = -9 Add '-11' to each side of the equation. 11 + -11 + -20x = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -20x = -9 + -11 -20x = -9 + -11 Combine like terms: -9 + -11 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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