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Simplifying 2(x + 3) = -3(x + 1) + -2x Reorder the terms: 2(3 + x) = -3(x + 1) + -2x (3 * 2 + x * 2) = -3(x + 1) + -2x (6 + 2x) = -3(x + 1) + -2x Reorder the terms: 6 + 2x = -3(1 + x) + -2x 6 + 2x = (1 * -3 + x * -3) + -2x 6 + 2x = (-3 + -3x) + -2x Combine like terms: -3x + -2x = -5x 6 + 2x = -3 + -5x Solving 6 + 2x = -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 + 2x + 5x = -3 + -5x + 5x Combine like terms: 2x + 5x = 7x 6 + 7x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 7x = -3 + 0 6 + 7x = -3 Add '-6' to each side of the equation. 6 + -6 + 7x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -3 + -6 7x = -3 + -6 Combine like terms: -3 + -6 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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