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Simplifying 4 + 8(x + -9) = 8 + -8(x + -2) Reorder the terms: 4 + 8(-9 + x) = 8 + -8(x + -2) 4 + (-9 * 8 + x * 8) = 8 + -8(x + -2) 4 + (-72 + 8x) = 8 + -8(x + -2) Combine like terms: 4 + -72 = -68 -68 + 8x = 8 + -8(x + -2) Reorder the terms: -68 + 8x = 8 + -8(-2 + x) -68 + 8x = 8 + (-2 * -8 + x * -8) -68 + 8x = 8 + (16 + -8x) Combine like terms: 8 + 16 = 24 -68 + 8x = 24 + -8x Solving -68 + 8x = 24 + -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. -68 + 8x + 8x = 24 + -8x + 8x Combine like terms: 8x + 8x = 16x -68 + 16x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -68 + 16x = 24 + 0 -68 + 16x = 24 Add '68' to each side of the equation. -68 + 68 + 16x = 24 + 68 Combine like terms: -68 + 68 = 0 0 + 16x = 24 + 68 16x = 24 + 68 Combine like terms: 24 + 68 = 92 16x = 92 Divide each side by '16'. x = 5.75 Simplifying x = 5.75
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