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Simplifying 2 + 3(x + 1) = -2(3x + 4) Reorder the terms: 2 + 3(1 + x) = -2(3x + 4) 2 + (1 * 3 + x * 3) = -2(3x + 4) 2 + (3 + 3x) = -2(3x + 4) Combine like terms: 2 + 3 = 5 5 + 3x = -2(3x + 4) Reorder the terms: 5 + 3x = -2(4 + 3x) 5 + 3x = (4 * -2 + 3x * -2) 5 + 3x = (-8 + -6x) Solving 5 + 3x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 3x + 6x = -8 + -6x + 6x Combine like terms: 3x + 6x = 9x 5 + 9x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 9x = -8 + 0 5 + 9x = -8 Add '-5' to each side of the equation. 5 + -5 + 9x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = -8 + -5 9x = -8 + -5 Combine like terms: -8 + -5 = -13 9x = -13 Divide each side by '9'. x = -1.444444444 Simplifying x = -1.444444444
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