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Simplifying 3x + -7 + 2(3x + 4) = -3(x + 1) Reorder the terms: 3x + -7 + 2(4 + 3x) = -3(x + 1) 3x + -7 + (4 * 2 + 3x * 2) = -3(x + 1) 3x + -7 + (8 + 6x) = -3(x + 1) Reorder the terms: -7 + 8 + 3x + 6x = -3(x + 1) Combine like terms: -7 + 8 = 1 1 + 3x + 6x = -3(x + 1) Combine like terms: 3x + 6x = 9x 1 + 9x = -3(x + 1) Reorder the terms: 1 + 9x = -3(1 + x) 1 + 9x = (1 * -3 + x * -3) 1 + 9x = (-3 + -3x) Solving 1 + 9x = -3 + -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. 1 + 9x + 3x = -3 + -3x + 3x Combine like terms: 9x + 3x = 12x 1 + 12x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 12x = -3 + 0 1 + 12x = -3 Add '-1' to each side of the equation. 1 + -1 + 12x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = -3 + -1 12x = -3 + -1 Combine like terms: -3 + -1 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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