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Simplifying 7x + 12 + -3x = 8 + -1(3x + 2) Reorder the terms: 12 + 7x + -3x = 8 + -1(3x + 2) Combine like terms: 7x + -3x = 4x 12 + 4x = 8 + -1(3x + 2) Reorder the terms: 12 + 4x = 8 + -1(2 + 3x) 12 + 4x = 8 + (2 * -1 + 3x * -1) 12 + 4x = 8 + (-2 + -3x) Combine like terms: 8 + -2 = 6 12 + 4x = 6 + -3x Solving 12 + 4x = 6 + -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. 12 + 4x + 3x = 6 + -3x + 3x Combine like terms: 4x + 3x = 7x 12 + 7x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 7x = 6 + 0 12 + 7x = 6 Add '-12' to each side of the equation. 12 + -12 + 7x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 6 + -12 7x = 6 + -12 Combine like terms: 6 + -12 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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