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Simplifying 4(2x + 1) = 27 + (2x + -5) Reorder the terms: 4(1 + 2x) = 27 + (2x + -5) (1 * 4 + 2x * 4) = 27 + (2x + -5) (4 + 8x) = 27 + (2x + -5) Reorder the terms: 4 + 8x = 27 + (-5 + 2x) Remove parenthesis around (-5 + 2x) 4 + 8x = 27 + -5 + 2x Combine like terms: 27 + -5 = 22 4 + 8x = 22 + 2x Solving 4 + 8x = 22 + 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. 4 + 8x + -2x = 22 + 2x + -2x Combine like terms: 8x + -2x = 6x 4 + 6x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 6x = 22 + 0 4 + 6x = 22 Add '-4' to each side of the equation. 4 + -4 + 6x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 22 + -4 6x = 22 + -4 Combine like terms: 22 + -4 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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