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Simplifying 6[9 + -1(-5x + -1)] = 180x + -90 Reorder the terms: 6[9 + -1(-1 + -5x)] = 180x + -90 6[9 + (-1 * -1 + -5x * -1)] = 180x + -90 6[9 + (1 + 5x)] = 180x + -90 Combine like terms: 9 + 1 = 10 6[10 + 5x] = 180x + -90 [10 * 6 + 5x * 6] = 180x + -90 [60 + 30x] = 180x + -90 Reorder the terms: 60 + 30x = -90 + 180x Solving 60 + 30x = -90 + 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. 60 + 30x + -180x = -90 + 180x + -180x Combine like terms: 30x + -180x = -150x 60 + -150x = -90 + 180x + -180x Combine like terms: 180x + -180x = 0 60 + -150x = -90 + 0 60 + -150x = -90 Add '-60' to each side of the equation. 60 + -60 + -150x = -90 + -60 Combine like terms: 60 + -60 = 0 0 + -150x = -90 + -60 -150x = -90 + -60 Combine like terms: -90 + -60 = -150 -150x = -150 Divide each side by '-150'. x = 1 Simplifying x = 1
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