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Simplifying 6[8 + -1(-6x + -7)] = 288x + 384 Reorder the terms: 6[8 + -1(-7 + -6x)] = 288x + 384 6[8 + (-7 * -1 + -6x * -1)] = 288x + 384 6[8 + (7 + 6x)] = 288x + 384 Combine like terms: 8 + 7 = 15 6[15 + 6x] = 288x + 384 [15 * 6 + 6x * 6] = 288x + 384 [90 + 36x] = 288x + 384 Reorder the terms: 90 + 36x = 384 + 288x Solving 90 + 36x = 384 + 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. 90 + 36x + -288x = 384 + 288x + -288x Combine like terms: 36x + -288x = -252x 90 + -252x = 384 + 288x + -288x Combine like terms: 288x + -288x = 0 90 + -252x = 384 + 0 90 + -252x = 384 Add '-90' to each side of the equation. 90 + -90 + -252x = 384 + -90 Combine like terms: 90 + -90 = 0 0 + -252x = 384 + -90 -252x = 384 + -90 Combine like terms: 384 + -90 = 294 -252x = 294 Divide each side by '-252'. x = -1.166666667 Simplifying x = -1.166666667
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