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Simplifying 8(5 + -1x) + 4 = 7 + 4(x + -6) (5 * 8 + -1x * 8) + 4 = 7 + 4(x + -6) (40 + -8x) + 4 = 7 + 4(x + -6) Reorder the terms: 40 + 4 + -8x = 7 + 4(x + -6) Combine like terms: 40 + 4 = 44 44 + -8x = 7 + 4(x + -6) Reorder the terms: 44 + -8x = 7 + 4(-6 + x) 44 + -8x = 7 + (-6 * 4 + x * 4) 44 + -8x = 7 + (-24 + 4x) Combine like terms: 7 + -24 = -17 44 + -8x = -17 + 4x Solving 44 + -8x = -17 + 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. 44 + -8x + -4x = -17 + 4x + -4x Combine like terms: -8x + -4x = -12x 44 + -12x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 44 + -12x = -17 + 0 44 + -12x = -17 Add '-44' to each side of the equation. 44 + -44 + -12x = -17 + -44 Combine like terms: 44 + -44 = 0 0 + -12x = -17 + -44 -12x = -17 + -44 Combine like terms: -17 + -44 = -61 -12x = -61 Divide each side by '-12'. x = 5.083333333 Simplifying x = 5.083333333
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