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Simplifying 5(2x + 7) = 27 + 6x Reorder the terms: 5(7 + 2x) = 27 + 6x (7 * 5 + 2x * 5) = 27 + 6x (35 + 10x) = 27 + 6x Solving 35 + 10x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 10x + -6x = 27 + 6x + -6x Combine like terms: 10x + -6x = 4x 35 + 4x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 4x = 27 + 0 35 + 4x = 27 Add '-35' to each side of the equation. 35 + -35 + 4x = 27 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 27 + -35 4x = 27 + -35 Combine like terms: 27 + -35 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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