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Simplifying 9 + 8(x + -2) = 11 + -6(x + -7) Reorder the terms: 9 + 8(-2 + x) = 11 + -6(x + -7) 9 + (-2 * 8 + x * 8) = 11 + -6(x + -7) 9 + (-16 + 8x) = 11 + -6(x + -7) Combine like terms: 9 + -16 = -7 -7 + 8x = 11 + -6(x + -7) Reorder the terms: -7 + 8x = 11 + -6(-7 + x) -7 + 8x = 11 + (-7 * -6 + x * -6) -7 + 8x = 11 + (42 + -6x) Combine like terms: 11 + 42 = 53 -7 + 8x = 53 + -6x Solving -7 + 8x = 53 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 8x + 6x = 53 + -6x + 6x Combine like terms: 8x + 6x = 14x -7 + 14x = 53 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 14x = 53 + 0 -7 + 14x = 53 Add '7' to each side of the equation. -7 + 7 + 14x = 53 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 53 + 7 14x = 53 + 7 Combine like terms: 53 + 7 = 60 14x = 60 Divide each side by '14'. x = 4.285714286 Simplifying x = 4.285714286
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