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Simplifying 5(2x + 7) = 11 + 4x Reorder the terms: 5(7 + 2x) = 11 + 4x (7 * 5 + 2x * 5) = 11 + 4x (35 + 10x) = 11 + 4x Solving 35 + 10x = 11 + 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. 35 + 10x + -4x = 11 + 4x + -4x Combine like terms: 10x + -4x = 6x 35 + 6x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 6x = 11 + 0 35 + 6x = 11 Add '-35' to each side of the equation. 35 + -35 + 6x = 11 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = 11 + -35 6x = 11 + -35 Combine like terms: 11 + -35 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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