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Simplifying x + 3(2 + 3x) = 3(1 + -1x) + -2x x + (2 * 3 + 3x * 3) = 3(1 + -1x) + -2x x + (6 + 9x) = 3(1 + -1x) + -2x Reorder the terms: 6 + x + 9x = 3(1 + -1x) + -2x Combine like terms: x + 9x = 10x 6 + 10x = 3(1 + -1x) + -2x 6 + 10x = (1 * 3 + -1x * 3) + -2x 6 + 10x = (3 + -3x) + -2x Combine like terms: -3x + -2x = -5x 6 + 10x = 3 + -5x Solving 6 + 10x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 10x + 5x = 3 + -5x + 5x Combine like terms: 10x + 5x = 15x 6 + 15x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 15x = 3 + 0 6 + 15x = 3 Add '-6' to each side of the equation. 6 + -6 + 15x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 3 + -6 15x = 3 + -6 Combine like terms: 3 + -6 = -3 15x = -3 Divide each side by '15'. x = -0.2 Simplifying x = -0.2
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