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Simplifying -8x + 6 + -5(x + -1) = -5x + -1(7x + -3) + 5 Reorder the terms: -8x + 6 + -5(-1 + x) = -5x + -1(7x + -3) + 5 -8x + 6 + (-1 * -5 + x * -5) = -5x + -1(7x + -3) + 5 -8x + 6 + (5 + -5x) = -5x + -1(7x + -3) + 5 Reorder the terms: 6 + 5 + -8x + -5x = -5x + -1(7x + -3) + 5 Combine like terms: 6 + 5 = 11 11 + -8x + -5x = -5x + -1(7x + -3) + 5 Combine like terms: -8x + -5x = -13x 11 + -13x = -5x + -1(7x + -3) + 5 Reorder the terms: 11 + -13x = -5x + -1(-3 + 7x) + 5 11 + -13x = -5x + (-3 * -1 + 7x * -1) + 5 11 + -13x = -5x + (3 + -7x) + 5 Reorder the terms: 11 + -13x = 3 + 5 + -5x + -7x Combine like terms: 3 + 5 = 8 11 + -13x = 8 + -5x + -7x Combine like terms: -5x + -7x = -12x 11 + -13x = 8 + -12x Solving 11 + -13x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 11 + -13x + 12x = 8 + -12x + 12x Combine like terms: -13x + 12x = -1x 11 + -1x = 8 + -12x + 12x Combine like terms: -12x + 12x = 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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