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Simplifying 2(4x + 7) = 3 + 2x + 2 Reorder the terms: 2(7 + 4x) = 3 + 2x + 2 (7 * 2 + 4x * 2) = 3 + 2x + 2 (14 + 8x) = 3 + 2x + 2 Reorder the terms: 14 + 8x = 3 + 2 + 2x Combine like terms: 3 + 2 = 5 14 + 8x = 5 + 2x Solving 14 + 8x = 5 + 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. 14 + 8x + -2x = 5 + 2x + -2x Combine like terms: 8x + -2x = 6x 14 + 6x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 6x = 5 + 0 14 + 6x = 5 Add '-14' to each side of the equation. 14 + -14 + 6x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 5 + -14 6x = 5 + -14 Combine like terms: 5 + -14 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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