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Simplifying 5 + 3(3 + -2x) = 5x + 3(3x + -2) 5 + (3 * 3 + -2x * 3) = 5x + 3(3x + -2) 5 + (9 + -6x) = 5x + 3(3x + -2) Combine like terms: 5 + 9 = 14 14 + -6x = 5x + 3(3x + -2) Reorder the terms: 14 + -6x = 5x + 3(-2 + 3x) 14 + -6x = 5x + (-2 * 3 + 3x * 3) 14 + -6x = 5x + (-6 + 9x) Reorder the terms: 14 + -6x = -6 + 5x + 9x Combine like terms: 5x + 9x = 14x 14 + -6x = -6 + 14x Solving 14 + -6x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 14 + -6x + -14x = -6 + 14x + -14x Combine like terms: -6x + -14x = -20x 14 + -20x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 14 + -20x = -6 + 0 14 + -20x = -6 Add '-14' to each side of the equation. 14 + -14 + -20x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -20x = -6 + -14 -20x = -6 + -14 Combine like terms: -6 + -14 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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