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Simplifying 8(8 + 3x) = 4(7 + 2x) (8 * 8 + 3x * 8) = 4(7 + 2x) (64 + 24x) = 4(7 + 2x) 64 + 24x = (7 * 4 + 2x * 4) 64 + 24x = (28 + 8x) Solving 64 + 24x = 28 + 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. 64 + 24x + -8x = 28 + 8x + -8x Combine like terms: 24x + -8x = 16x 64 + 16x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 64 + 16x = 28 + 0 64 + 16x = 28 Add '-64' to each side of the equation. 64 + -64 + 16x = 28 + -64 Combine like terms: 64 + -64 = 0 0 + 16x = 28 + -64 16x = 28 + -64 Combine like terms: 28 + -64 = -36 16x = -36 Divide each side by '16'. x = -2.25 Simplifying x = -2.25
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