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Simplifying 6[x + -9(x + -6)] = 4 + -5x Reorder the terms: 6[x + -9(-6 + x)] = 4 + -5x 6[x + (-6 * -9 + x * -9)] = 4 + -5x 6[x + (54 + -9x)] = 4 + -5x Reorder the terms: 6[54 + x + -9x] = 4 + -5x Combine like terms: x + -9x = -8x 6[54 + -8x] = 4 + -5x [54 * 6 + -8x * 6] = 4 + -5x [324 + -48x] = 4 + -5x Solving 324 + -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. 324 + -48x + 5x = 4 + -5x + 5x Combine like terms: -48x + 5x = -43x 324 + -43x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 324 + -43x = 4 + 0 324 + -43x = 4 Add '-324' to each side of the equation. 324 + -324 + -43x = 4 + -324 Combine like terms: 324 + -324 = 0 0 + -43x = 4 + -324 -43x = 4 + -324 Combine like terms: 4 + -324 = -320 -43x = -320 Divide each side by '-43'. x = 7.441860465 Simplifying x = 7.441860465
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