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Simplifying 6[9 + -1(-6x + -2)] = 180x + 114 Reorder the terms: 6[9 + -1(-2 + -6x)] = 180x + 114 6[9 + (-2 * -1 + -6x * -1)] = 180x + 114 6[9 + (2 + 6x)] = 180x + 114 Combine like terms: 9 + 2 = 11 6[11 + 6x] = 180x + 114 [11 * 6 + 6x * 6] = 180x + 114 [66 + 36x] = 180x + 114 Reorder the terms: 66 + 36x = 114 + 180x Solving 66 + 36x = 114 + 180x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180x' to each side of the equation. 66 + 36x + -180x = 114 + 180x + -180x Combine like terms: 36x + -180x = -144x 66 + -144x = 114 + 180x + -180x Combine like terms: 180x + -180x = 0 66 + -144x = 114 + 0 66 + -144x = 114 Add '-66' to each side of the equation. 66 + -66 + -144x = 114 + -66 Combine like terms: 66 + -66 = 0 0 + -144x = 114 + -66 -144x = 114 + -66 Combine like terms: 114 + -66 = 48 -144x = 48 Divide each side by '-144'. x = -0.3333333333 Simplifying x = -0.3333333333
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