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Simplifying 2(4x + 7) = 3x + 40 + 2x + 4 Reorder the terms: 2(7 + 4x) = 3x + 40 + 2x + 4 (7 * 2 + 4x * 2) = 3x + 40 + 2x + 4 (14 + 8x) = 3x + 40 + 2x + 4 Reorder the terms: 14 + 8x = 40 + 4 + 3x + 2x Combine like terms: 40 + 4 = 44 14 + 8x = 44 + 3x + 2x Combine like terms: 3x + 2x = 5x 14 + 8x = 44 + 5x Solving 14 + 8x = 44 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 8x + -5x = 44 + 5x + -5x Combine like terms: 8x + -5x = 3x 14 + 3x = 44 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 3x = 44 + 0 14 + 3x = 44 Add '-14' to each side of the equation. 14 + -14 + 3x = 44 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 44 + -14 3x = 44 + -14 Combine like terms: 44 + -14 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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