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Simplifying 3x + 4(2 + x) = 4x + 5 3x + (2 * 4 + x * 4) = 4x + 5 3x + (8 + 4x) = 4x + 5 Reorder the terms: 8 + 3x + 4x = 4x + 5 Combine like terms: 3x + 4x = 7x 8 + 7x = 4x + 5 Reorder the terms: 8 + 7x = 5 + 4x Solving 8 + 7x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 7x + -4x = 5 + 4x + -4x Combine like terms: 7x + -4x = 3x 8 + 3x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 3x = 5 + 0 8 + 3x = 5 Add '-8' to each side of the equation. 8 + -8 + 3x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 5 + -8 3x = 5 + -8 Combine like terms: 5 + -8 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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