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Simplifying 7 + 6(x + -4) = 8 + -8(x + -7) Reorder the terms: 7 + 6(-4 + x) = 8 + -8(x + -7) 7 + (-4 * 6 + x * 6) = 8 + -8(x + -7) 7 + (-24 + 6x) = 8 + -8(x + -7) Combine like terms: 7 + -24 = -17 -17 + 6x = 8 + -8(x + -7) Reorder the terms: -17 + 6x = 8 + -8(-7 + x) -17 + 6x = 8 + (-7 * -8 + x * -8) -17 + 6x = 8 + (56 + -8x) Combine like terms: 8 + 56 = 64 -17 + 6x = 64 + -8x Solving -17 + 6x = 64 + -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. -17 + 6x + 8x = 64 + -8x + 8x Combine like terms: 6x + 8x = 14x -17 + 14x = 64 + -8x + 8x Combine like terms: -8x + 8x = 0 -17 + 14x = 64 + 0 -17 + 14x = 64 Add '17' to each side of the equation. -17 + 17 + 14x = 64 + 17 Combine like terms: -17 + 17 = 0 0 + 14x = 64 + 17 14x = 64 + 17 Combine like terms: 64 + 17 = 81 14x = 81 Divide each side by '14'. x = 5.785714286 Simplifying x = 5.785714286
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