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