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Simplifying 2(3x + 4) = 2x + 1 Reorder the terms: 2(4 + 3x) = 2x + 1 (4 * 2 + 3x * 2) = 2x + 1 (8 + 6x) = 2x + 1 Reorder the terms: 8 + 6x = 1 + 2x Solving 8 + 6x = 1 + 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. 8 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x 8 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 4x = 1 + 0 8 + 4x = 1 Add '-8' to each side of the equation. 8 + -8 + 4x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 1 + -8 4x = 1 + -8 Combine like terms: 1 + -8 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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