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Simplifying 9[7 + -1(-4x + -7)] = 180x + 378 Reorder the terms: 9[7 + -1(-7 + -4x)] = 180x + 378 9[7 + (-7 * -1 + -4x * -1)] = 180x + 378 9[7 + (7 + 4x)] = 180x + 378 Combine like terms: 7 + 7 = 14 9[14 + 4x] = 180x + 378 [14 * 9 + 4x * 9] = 180x + 378 [126 + 36x] = 180x + 378 Reorder the terms: 126 + 36x = 378 + 180x Solving 126 + 36x = 378 + 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. 126 + 36x + -180x = 378 + 180x + -180x Combine like terms: 36x + -180x = -144x 126 + -144x = 378 + 180x + -180x Combine like terms: 180x + -180x = 0 126 + -144x = 378 + 0 126 + -144x = 378 Add '-126' to each side of the equation. 126 + -126 + -144x = 378 + -126 Combine like terms: 126 + -126 = 0 0 + -144x = 378 + -126 -144x = 378 + -126 Combine like terms: 378 + -126 = 252 -144x = 252 Divide each side by '-144'. x = -1.75 Simplifying x = -1.75
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