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Simplifying -8(x + -6) + -5 = 4(x + -7) Reorder the terms: -8(-6 + x) + -5 = 4(x + -7) (-6 * -8 + x * -8) + -5 = 4(x + -7) (48 + -8x) + -5 = 4(x + -7) Reorder the terms: 48 + -5 + -8x = 4(x + -7) Combine like terms: 48 + -5 = 43 43 + -8x = 4(x + -7) Reorder the terms: 43 + -8x = 4(-7 + x) 43 + -8x = (-7 * 4 + x * 4) 43 + -8x = (-28 + 4x) Solving 43 + -8x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 43 + -8x + -4x = -28 + 4x + -4x Combine like terms: -8x + -4x = -12x 43 + -12x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 43 + -12x = -28 + 0 43 + -12x = -28 Add '-43' to each side of the equation. 43 + -43 + -12x = -28 + -43 Combine like terms: 43 + -43 = 0 0 + -12x = -28 + -43 -12x = -28 + -43 Combine like terms: -28 + -43 = -71 -12x = -71 Divide each side by '-12'. x = 5.916666667 Simplifying x = 5.916666667
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