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Simplifying 6[4 + -1(-6x + -7)] = 216x + 276 Reorder the terms: 6[4 + -1(-7 + -6x)] = 216x + 276 6[4 + (-7 * -1 + -6x * -1)] = 216x + 276 6[4 + (7 + 6x)] = 216x + 276 Combine like terms: 4 + 7 = 11 6[11 + 6x] = 216x + 276 [11 * 6 + 6x * 6] = 216x + 276 [66 + 36x] = 216x + 276 Reorder the terms: 66 + 36x = 276 + 216x Solving 66 + 36x = 276 + 216x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-216x' to each side of the equation. 66 + 36x + -216x = 276 + 216x + -216x Combine like terms: 36x + -216x = -180x 66 + -180x = 276 + 216x + -216x Combine like terms: 216x + -216x = 0 66 + -180x = 276 + 0 66 + -180x = 276 Add '-66' to each side of the equation. 66 + -66 + -180x = 276 + -66 Combine like terms: 66 + -66 = 0 0 + -180x = 276 + -66 -180x = 276 + -66 Combine like terms: 276 + -66 = 210 -180x = 210 Divide each side by '-180'. x = -1.166666667 Simplifying x = -1.166666667
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