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Simplifying -11x + 6 + -5(x + -1) = -5 + -1(10x + -5) + 5 Reorder the terms: -11x + 6 + -5(-1 + x) = -5 + -1(10x + -5) + 5 -11x + 6 + (-1 * -5 + x * -5) = -5 + -1(10x + -5) + 5 -11x + 6 + (5 + -5x) = -5 + -1(10x + -5) + 5 Reorder the terms: 6 + 5 + -11x + -5x = -5 + -1(10x + -5) + 5 Combine like terms: 6 + 5 = 11 11 + -11x + -5x = -5 + -1(10x + -5) + 5 Combine like terms: -11x + -5x = -16x 11 + -16x = -5 + -1(10x + -5) + 5 Reorder the terms: 11 + -16x = -5 + -1(-5 + 10x) + 5 11 + -16x = -5 + (-5 * -1 + 10x * -1) + 5 11 + -16x = -5 + (5 + -10x) + 5 Reorder the terms: 11 + -16x = -5 + 5 + 5 + -10x Combine like terms: -5 + 5 = 0 11 + -16x = 0 + 5 + -10x 11 + -16x = 5 + -10x Solving 11 + -16x = 5 + -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. 11 + -16x + 10x = 5 + -10x + 10x Combine like terms: -16x + 10x = -6x 11 + -6x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 11 + -6x = 5 + 0 11 + -6x = 5 Add '-11' to each side of the equation. 11 + -11 + -6x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 5 + -11 -6x = 5 + -11 Combine like terms: 5 + -11 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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