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