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Simplifying 6(x + 1) = 4x + 11 Reorder the terms: 6(1 + x) = 4x + 11 (1 * 6 + x * 6) = 4x + 11 (6 + 6x) = 4x + 11 Reorder the terms: 6 + 6x = 11 + 4x Solving 6 + 6x = 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. 6 + 6x + -4x = 11 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = 11 + 0 6 + 2x = 11 Add '-6' to each side of the equation. 6 + -6 + 2x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 11 + -6 2x = 11 + -6 Combine like terms: 11 + -6 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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