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Simplifying -11x + 6 + -5(x + -1) = -5x + -1(10x + -3) + 5 Reorder the terms: -11x + 6 + -5(-1 + x) = -5x + -1(10x + -3) + 5 -11x + 6 + (-1 * -5 + x * -5) = -5x + -1(10x + -3) + 5 -11x + 6 + (5 + -5x) = -5x + -1(10x + -3) + 5 Reorder the terms: 6 + 5 + -11x + -5x = -5x + -1(10x + -3) + 5 Combine like terms: 6 + 5 = 11 11 + -11x + -5x = -5x + -1(10x + -3) + 5 Combine like terms: -11x + -5x = -16x 11 + -16x = -5x + -1(10x + -3) + 5 Reorder the terms: 11 + -16x = -5x + -1(-3 + 10x) + 5 11 + -16x = -5x + (-3 * -1 + 10x * -1) + 5 11 + -16x = -5x + (3 + -10x) + 5 Reorder the terms: 11 + -16x = 3 + 5 + -5x + -10x Combine like terms: 3 + 5 = 8 11 + -16x = 8 + -5x + -10x Combine like terms: -5x + -10x = -15x 11 + -16x = 8 + -15x Solving 11 + -16x = 8 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 11 + -16x + 15x = 8 + -15x + 15x Combine like terms: -16x + 15x = -1x 11 + -1x = 8 + -15x + 15x Combine like terms: -15x + 15x = 0 11 + -1x = 8 + 0 11 + -1x = 8 Add '-11' to each side of the equation. 11 + -11 + -1x = 8 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 8 + -11 -1x = 8 + -11 Combine like terms: 8 + -11 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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