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Simplifying 5 + 6(x + -2) = 9 + -8(x + -1) Reorder the terms: 5 + 6(-2 + x) = 9 + -8(x + -1) 5 + (-2 * 6 + x * 6) = 9 + -8(x + -1) 5 + (-12 + 6x) = 9 + -8(x + -1) Combine like terms: 5 + -12 = -7 -7 + 6x = 9 + -8(x + -1) Reorder the terms: -7 + 6x = 9 + -8(-1 + x) -7 + 6x = 9 + (-1 * -8 + x * -8) -7 + 6x = 9 + (8 + -8x) Combine like terms: 9 + 8 = 17 -7 + 6x = 17 + -8x Solving -7 + 6x = 17 + -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. -7 + 6x + 8x = 17 + -8x + 8x Combine like terms: 6x + 8x = 14x -7 + 14x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + 14x = 17 + 0 -7 + 14x = 17 Add '7' to each side of the equation. -7 + 7 + 14x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 17 + 7 14x = 17 + 7 Combine like terms: 17 + 7 = 24 14x = 24 Divide each side by '14'. x = 1.714285714 Simplifying x = 1.714285714
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