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Simplifying 5 + 6(x + -1) = 2x + 11 + 2x Reorder the terms: 5 + 6(-1 + x) = 2x + 11 + 2x 5 + (-1 * 6 + x * 6) = 2x + 11 + 2x 5 + (-6 + 6x) = 2x + 11 + 2x Combine like terms: 5 + -6 = -1 -1 + 6x = 2x + 11 + 2x Reorder the terms: -1 + 6x = 11 + 2x + 2x Combine like terms: 2x + 2x = 4x -1 + 6x = 11 + 4x Solving -1 + 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. -1 + 6x + -4x = 11 + 4x + -4x Combine like terms: 6x + -4x = 2x -1 + 2x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 2x = 11 + 0 -1 + 2x = 11 Add '1' to each side of the equation. -1 + 1 + 2x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 11 + 1 2x = 11 + 1 Combine like terms: 11 + 1 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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