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Simplifying 4[3 + -1(-9x + -2)] = 288x + 76 Reorder the terms: 4[3 + -1(-2 + -9x)] = 288x + 76 4[3 + (-2 * -1 + -9x * -1)] = 288x + 76 4[3 + (2 + 9x)] = 288x + 76 Combine like terms: 3 + 2 = 5 4[5 + 9x] = 288x + 76 [5 * 4 + 9x * 4] = 288x + 76 [20 + 36x] = 288x + 76 Reorder the terms: 20 + 36x = 76 + 288x Solving 20 + 36x = 76 + 288x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-288x' to each side of the equation. 20 + 36x + -288x = 76 + 288x + -288x Combine like terms: 36x + -288x = -252x 20 + -252x = 76 + 288x + -288x Combine like terms: 288x + -288x = 0 20 + -252x = 76 + 0 20 + -252x = 76 Add '-20' to each side of the equation. 20 + -20 + -252x = 76 + -20 Combine like terms: 20 + -20 = 0 0 + -252x = 76 + -20 -252x = 76 + -20 Combine like terms: 76 + -20 = 56 -252x = 56 Divide each side by '-252'. x = -0.2222222222 Simplifying x = -0.2222222222
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