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Simplifying 6[6 + -1(-6x + -1)] = 288x + 84 Reorder the terms: 6[6 + -1(-1 + -6x)] = 288x + 84 6[6 + (-1 * -1 + -6x * -1)] = 288x + 84 6[6 + (1 + 6x)] = 288x + 84 Combine like terms: 6 + 1 = 7 6[7 + 6x] = 288x + 84 [7 * 6 + 6x * 6] = 288x + 84 [42 + 36x] = 288x + 84 Reorder the terms: 42 + 36x = 84 + 288x Solving 42 + 36x = 84 + 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. 42 + 36x + -288x = 84 + 288x + -288x Combine like terms: 36x + -288x = -252x 42 + -252x = 84 + 288x + -288x Combine like terms: 288x + -288x = 0 42 + -252x = 84 + 0 42 + -252x = 84 Add '-42' to each side of the equation. 42 + -42 + -252x = 84 + -42 Combine like terms: 42 + -42 = 0 0 + -252x = 84 + -42 -252x = 84 + -42 Combine like terms: 84 + -42 = 42 -252x = 42 Divide each side by '-252'. x = -0.1666666667 Simplifying x = -0.1666666667
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