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Simplifying 2 + 8(x + -2) = 9 + -8(x + -7) Reorder the terms: 2 + 8(-2 + x) = 9 + -8(x + -7) 2 + (-2 * 8 + x * 8) = 9 + -8(x + -7) 2 + (-16 + 8x) = 9 + -8(x + -7) Combine like terms: 2 + -16 = -14 -14 + 8x = 9 + -8(x + -7) Reorder the terms: -14 + 8x = 9 + -8(-7 + x) -14 + 8x = 9 + (-7 * -8 + x * -8) -14 + 8x = 9 + (56 + -8x) Combine like terms: 9 + 56 = 65 -14 + 8x = 65 + -8x Solving -14 + 8x = 65 + -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. -14 + 8x + 8x = 65 + -8x + 8x Combine like terms: 8x + 8x = 16x -14 + 16x = 65 + -8x + 8x Combine like terms: -8x + 8x = 0 -14 + 16x = 65 + 0 -14 + 16x = 65 Add '14' to each side of the equation. -14 + 14 + 16x = 65 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 65 + 14 16x = 65 + 14 Combine like terms: 65 + 14 = 79 16x = 79 Divide each side by '16'. x = 4.9375 Simplifying x = 4.9375
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