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Simplifying 2 + 8(x + -9) = 9 + -8(x + -3) Reorder the terms: 2 + 8(-9 + x) = 9 + -8(x + -3) 2 + (-9 * 8 + x * 8) = 9 + -8(x + -3) 2 + (-72 + 8x) = 9 + -8(x + -3) Combine like terms: 2 + -72 = -70 -70 + 8x = 9 + -8(x + -3) Reorder the terms: -70 + 8x = 9 + -8(-3 + x) -70 + 8x = 9 + (-3 * -8 + x * -8) -70 + 8x = 9 + (24 + -8x) Combine like terms: 9 + 24 = 33 -70 + 8x = 33 + -8x Solving -70 + 8x = 33 + -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. -70 + 8x + 8x = 33 + -8x + 8x Combine like terms: 8x + 8x = 16x -70 + 16x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -70 + 16x = 33 + 0 -70 + 16x = 33 Add '70' to each side of the equation. -70 + 70 + 16x = 33 + 70 Combine like terms: -70 + 70 = 0 0 + 16x = 33 + 70 16x = 33 + 70 Combine like terms: 33 + 70 = 103 16x = 103 Divide each side by '16'. x = 6.4375 Simplifying x = 6.4375
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