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