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Simplifying 8(x + -8) = 4(x + 2.5) Reorder the terms: 8(-8 + x) = 4(x + 2.5) (-8 * 8 + x * 8) = 4(x + 2.5) (-64 + 8x) = 4(x + 2.5) Reorder the terms: -64 + 8x = 4(2.5 + x) -64 + 8x = (2.5 * 4 + x * 4) -64 + 8x = (10 + 4x) Solving -64 + 8x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -64 + 8x + -4x = 10 + 4x + -4x Combine like terms: 8x + -4x = 4x -64 + 4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -64 + 4x = 10 + 0 -64 + 4x = 10 Add '64' to each side of the equation. -64 + 64 + 4x = 10 + 64 Combine like terms: -64 + 64 = 0 0 + 4x = 10 + 64 4x = 10 + 64 Combine like terms: 10 + 64 = 74 4x = 74 Divide each side by '4'. x = 18.5 Simplifying x = 18.5
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