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