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Simplifying 9[5 + -1(-4x + -6)] = 72x + 153 Reorder the terms: 9[5 + -1(-6 + -4x)] = 72x + 153 9[5 + (-6 * -1 + -4x * -1)] = 72x + 153 9[5 + (6 + 4x)] = 72x + 153 Combine like terms: 5 + 6 = 11 9[11 + 4x] = 72x + 153 [11 * 9 + 4x * 9] = 72x + 153 [99 + 36x] = 72x + 153 Reorder the terms: 99 + 36x = 153 + 72x Solving 99 + 36x = 153 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 99 + 36x + -72x = 153 + 72x + -72x Combine like terms: 36x + -72x = -36x 99 + -36x = 153 + 72x + -72x Combine like terms: 72x + -72x = 0 99 + -36x = 153 + 0 99 + -36x = 153 Add '-99' to each side of the equation. 99 + -99 + -36x = 153 + -99 Combine like terms: 99 + -99 = 0 0 + -36x = 153 + -99 -36x = 153 + -99 Combine like terms: 153 + -99 = 54 -36x = 54 Divide each side by '-36'. x = -1.5 Simplifying x = -1.5
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