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Simplifying 4[8 + -1(-9x + -1)] = 180x + 52 Reorder the terms: 4[8 + -1(-1 + -9x)] = 180x + 52 4[8 + (-1 * -1 + -9x * -1)] = 180x + 52 4[8 + (1 + 9x)] = 180x + 52 Combine like terms: 8 + 1 = 9 4[9 + 9x] = 180x + 52 [9 * 4 + 9x * 4] = 180x + 52 [36 + 36x] = 180x + 52 Reorder the terms: 36 + 36x = 52 + 180x Solving 36 + 36x = 52 + 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. 36 + 36x + -180x = 52 + 180x + -180x Combine like terms: 36x + -180x = -144x 36 + -144x = 52 + 180x + -180x Combine like terms: 180x + -180x = 0 36 + -144x = 52 + 0 36 + -144x = 52 Add '-36' to each side of the equation. 36 + -36 + -144x = 52 + -36 Combine like terms: 36 + -36 = 0 0 + -144x = 52 + -36 -144x = 52 + -36 Combine like terms: 52 + -36 = 16 -144x = 16 Divide each side by '-144'. x = -0.1111111111 Simplifying x = -0.1111111111
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