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Simplifying 3(x + 1) = 5 + -2(3x + 4) Reorder the terms: 3(1 + x) = 5 + -2(3x + 4) (1 * 3 + x * 3) = 5 + -2(3x + 4) (3 + 3x) = 5 + -2(3x + 4) Reorder the terms: 3 + 3x = 5 + -2(4 + 3x) 3 + 3x = 5 + (4 * -2 + 3x * -2) 3 + 3x = 5 + (-8 + -6x) Combine like terms: 5 + -8 = -3 3 + 3x = -3 + -6x Solving 3 + 3x = -3 + -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. 3 + 3x + 6x = -3 + -6x + 6x Combine like terms: 3x + 6x = 9x 3 + 9x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 9x = -3 + 0 3 + 9x = -3 Add '-3' to each side of the equation. 3 + -3 + 9x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = -3 + -3 9x = -3 + -3 Combine like terms: -3 + -3 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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