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Simplifying 5 + 8(x + -7) = 7 + -4(x + -8) Reorder the terms: 5 + 8(-7 + x) = 7 + -4(x + -8) 5 + (-7 * 8 + x * 8) = 7 + -4(x + -8) 5 + (-56 + 8x) = 7 + -4(x + -8) Combine like terms: 5 + -56 = -51 -51 + 8x = 7 + -4(x + -8) Reorder the terms: -51 + 8x = 7 + -4(-8 + x) -51 + 8x = 7 + (-8 * -4 + x * -4) -51 + 8x = 7 + (32 + -4x) Combine like terms: 7 + 32 = 39 -51 + 8x = 39 + -4x Solving -51 + 8x = 39 + -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. -51 + 8x + 4x = 39 + -4x + 4x Combine like terms: 8x + 4x = 12x -51 + 12x = 39 + -4x + 4x Combine like terms: -4x + 4x = 0 -51 + 12x = 39 + 0 -51 + 12x = 39 Add '51' to each side of the equation. -51 + 51 + 12x = 39 + 51 Combine like terms: -51 + 51 = 0 0 + 12x = 39 + 51 12x = 39 + 51 Combine like terms: 39 + 51 = 90 12x = 90 Divide each side by '12'. x = 7.5 Simplifying x = 7.5
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