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Simplifying 8(x + -5) + -1(x + -6) = 6(x + -1) Reorder the terms: 8(-5 + x) + -1(x + -6) = 6(x + -1) (-5 * 8 + x * 8) + -1(x + -6) = 6(x + -1) (-40 + 8x) + -1(x + -6) = 6(x + -1) Reorder the terms: -40 + 8x + -1(-6 + x) = 6(x + -1) -40 + 8x + (-6 * -1 + x * -1) = 6(x + -1) -40 + 8x + (6 + -1x) = 6(x + -1) Reorder the terms: -40 + 6 + 8x + -1x = 6(x + -1) Combine like terms: -40 + 6 = -34 -34 + 8x + -1x = 6(x + -1) Combine like terms: 8x + -1x = 7x -34 + 7x = 6(x + -1) Reorder the terms: -34 + 7x = 6(-1 + x) -34 + 7x = (-1 * 6 + x * 6) -34 + 7x = (-6 + 6x) Solving -34 + 7x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -34 + 7x + -6x = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x -34 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + 1x = -6 + 0 -34 + 1x = -6 Add '34' to each side of the equation. -34 + 34 + 1x = -6 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = -6 + 34 1x = -6 + 34 Combine like terms: -6 + 34 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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