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Simplifying 2(x + 3) = 5 + -1(3x + 9) Reorder the terms: 2(3 + x) = 5 + -1(3x + 9) (3 * 2 + x * 2) = 5 + -1(3x + 9) (6 + 2x) = 5 + -1(3x + 9) Reorder the terms: 6 + 2x = 5 + -1(9 + 3x) 6 + 2x = 5 + (9 * -1 + 3x * -1) 6 + 2x = 5 + (-9 + -3x) Combine like terms: 5 + -9 = -4 6 + 2x = -4 + -3x Solving 6 + 2x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 2x + 3x = -4 + -3x + 3x Combine like terms: 2x + 3x = 5x 6 + 5x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 5x = -4 + 0 6 + 5x = -4 Add '-6' to each side of the equation. 6 + -6 + 5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -4 + -6 5x = -4 + -6 Combine like terms: -4 + -6 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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