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Simplifying 4 + 6(x + 1) = 3x + 11 + 2x Reorder the terms: 4 + 6(1 + x) = 3x + 11 + 2x 4 + (1 * 6 + x * 6) = 3x + 11 + 2x 4 + (6 + 6x) = 3x + 11 + 2x Combine like terms: 4 + 6 = 10 10 + 6x = 3x + 11 + 2x Reorder the terms: 10 + 6x = 11 + 3x + 2x Combine like terms: 3x + 2x = 5x 10 + 6x = 11 + 5x Solving 10 + 6x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 6x + -5x = 11 + 5x + -5x Combine like terms: 6x + -5x = 1x 10 + 1x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 1x = 11 + 0 10 + 1x = 11 Add '-10' to each side of the equation. 10 + -10 + 1x = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 11 + -10 1x = 11 + -10 Combine like terms: 11 + -10 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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