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Simplifying -8(x + 5) + -7 = -6(x + -1) Reorder the terms: -8(5 + x) + -7 = -6(x + -1) (5 * -8 + x * -8) + -7 = -6(x + -1) (-40 + -8x) + -7 = -6(x + -1) Reorder the terms: -40 + -7 + -8x = -6(x + -1) Combine like terms: -40 + -7 = -47 -47 + -8x = -6(x + -1) Reorder the terms: -47 + -8x = -6(-1 + x) -47 + -8x = (-1 * -6 + x * -6) -47 + -8x = (6 + -6x) Solving -47 + -8x = 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. -47 + -8x + 6x = 6 + -6x + 6x Combine like terms: -8x + 6x = -2x -47 + -2x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -47 + -2x = 6 + 0 -47 + -2x = 6 Add '47' to each side of the equation. -47 + 47 + -2x = 6 + 47 Combine like terms: -47 + 47 = 0 0 + -2x = 6 + 47 -2x = 6 + 47 Combine like terms: 6 + 47 = 53 -2x = 53 Divide each side by '-2'. x = -26.5 Simplifying x = -26.5
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