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Simplifying 3(7 + -3x + -2x) + 3(3x + 3) = 6 Combine like terms: -3x + -2x = -5x 3(7 + -5x) + 3(3x + 3) = 6 (7 * 3 + -5x * 3) + 3(3x + 3) = 6 (21 + -15x) + 3(3x + 3) = 6 Reorder the terms: 21 + -15x + 3(3 + 3x) = 6 21 + -15x + (3 * 3 + 3x * 3) = 6 21 + -15x + (9 + 9x) = 6 Reorder the terms: 21 + 9 + -15x + 9x = 6 Combine like terms: 21 + 9 = 30 30 + -15x + 9x = 6 Combine like terms: -15x + 9x = -6x 30 + -6x = 6 Solving 30 + -6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -6x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 6 + -30 -6x = 6 + -30 Combine like terms: 6 + -30 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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