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Simplifying 5 + 6(x + -1) = 11 + 5x Reorder the terms: 5 + 6(-1 + x) = 11 + 5x 5 + (-1 * 6 + x * 6) = 11 + 5x 5 + (-6 + 6x) = 11 + 5x Combine like terms: 5 + -6 = -1 -1 + 6x = 11 + 5x Solving -1 + 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. -1 + 6x + -5x = 11 + 5x + -5x Combine like terms: 6x + -5x = 1x -1 + 1x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 1x = 11 + 0 -1 + 1x = 11 Add '1' to each side of the equation. -1 + 1 + 1x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 11 + 1 1x = 11 + 1 Combine like terms: 11 + 1 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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