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