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Simplifying 5 + 8(x + -7) = 4 + -8(x + -5) Reorder the terms: 5 + 8(-7 + x) = 4 + -8(x + -5) 5 + (-7 * 8 + x * 8) = 4 + -8(x + -5) 5 + (-56 + 8x) = 4 + -8(x + -5) Combine like terms: 5 + -56 = -51 -51 + 8x = 4 + -8(x + -5) Reorder the terms: -51 + 8x = 4 + -8(-5 + x) -51 + 8x = 4 + (-5 * -8 + x * -8) -51 + 8x = 4 + (40 + -8x) Combine like terms: 4 + 40 = 44 -51 + 8x = 44 + -8x Solving -51 + 8x = 44 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -51 + 8x + 8x = 44 + -8x + 8x Combine like terms: 8x + 8x = 16x -51 + 16x = 44 + -8x + 8x Combine like terms: -8x + 8x = 0 -51 + 16x = 44 + 0 -51 + 16x = 44 Add '51' to each side of the equation. -51 + 51 + 16x = 44 + 51 Combine like terms: -51 + 51 = 0 0 + 16x = 44 + 51 16x = 44 + 51 Combine like terms: 44 + 51 = 95 16x = 95 Divide each side by '16'. x = 5.9375 Simplifying x = 5.9375
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