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Simplifying 6 + 3(3 + -2x) = 6x + 3(3x + -2) 6 + (3 * 3 + -2x * 3) = 6x + 3(3x + -2) 6 + (9 + -6x) = 6x + 3(3x + -2) Combine like terms: 6 + 9 = 15 15 + -6x = 6x + 3(3x + -2) Reorder the terms: 15 + -6x = 6x + 3(-2 + 3x) 15 + -6x = 6x + (-2 * 3 + 3x * 3) 15 + -6x = 6x + (-6 + 9x) Reorder the terms: 15 + -6x = -6 + 6x + 9x Combine like terms: 6x + 9x = 15x 15 + -6x = -6 + 15x Solving 15 + -6x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 15 + -6x + -15x = -6 + 15x + -15x Combine like terms: -6x + -15x = -21x 15 + -21x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -21x = -6 + 0 15 + -21x = -6 Add '-15' to each side of the equation. 15 + -15 + -21x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = -6 + -15 -21x = -6 + -15 Combine like terms: -6 + -15 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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