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Simplifying 6[x + -1(9x + -6)] = 4 + -5x Reorder the terms: 6[x + -1(-6 + 9x)] = 4 + -5x 6[x + (-6 * -1 + 9x * -1)] = 4 + -5x 6[x + (6 + -9x)] = 4 + -5x Reorder the terms: 6[6 + x + -9x] = 4 + -5x Combine like terms: x + -9x = -8x 6[6 + -8x] = 4 + -5x [6 * 6 + -8x * 6] = 4 + -5x [36 + -48x] = 4 + -5x Solving 36 + -48x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 36 + -48x + 5x = 4 + -5x + 5x Combine like terms: -48x + 5x = -43x 36 + -43x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 36 + -43x = 4 + 0 36 + -43x = 4 Add '-36' to each side of the equation. 36 + -36 + -43x = 4 + -36 Combine like terms: 36 + -36 = 0 0 + -43x = 4 + -36 -43x = 4 + -36 Combine like terms: 4 + -36 = -32 -43x = -32 Divide each side by '-43'. x = 0.7441860465 Simplifying x = 0.7441860465
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