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Simplifying 6(6 + -6x) = 4(8 + -2x) (6 * 6 + -6x * 6) = 4(8 + -2x) (36 + -36x) = 4(8 + -2x) 36 + -36x = (8 * 4 + -2x * 4) 36 + -36x = (32 + -8x) Solving 36 + -36x = 32 + -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. 36 + -36x + 8x = 32 + -8x + 8x Combine like terms: -36x + 8x = -28x 36 + -28x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 36 + -28x = 32 + 0 36 + -28x = 32 Add '-36' to each side of the equation. 36 + -36 + -28x = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -28x = 32 + -36 -28x = 32 + -36 Combine like terms: 32 + -36 = -4 -28x = -4 Divide each side by '-28'. x = 0.1428571429 Simplifying x = 0.1428571429
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