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Simplifying 3[5 + -1(-5x + -1)] = 6x + 27 Reorder the terms: 3[5 + -1(-1 + -5x)] = 6x + 27 3[5 + (-1 * -1 + -5x * -1)] = 6x + 27 3[5 + (1 + 5x)] = 6x + 27 Combine like terms: 5 + 1 = 6 3[6 + 5x] = 6x + 27 [6 * 3 + 5x * 3] = 6x + 27 [18 + 15x] = 6x + 27 Reorder the terms: 18 + 15x = 27 + 6x Solving 18 + 15x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + 15x + -6x = 27 + 6x + -6x Combine like terms: 15x + -6x = 9x 18 + 9x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 9x = 27 + 0 18 + 9x = 27 Add '-18' to each side of the equation. 18 + -18 + 9x = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 27 + -18 9x = 27 + -18 Combine like terms: 27 + -18 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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