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Simplifying 6x + 27 = 1 + -5(-3x + -7) Reorder the terms: 27 + 6x = 1 + -5(-3x + -7) Reorder the terms: 27 + 6x = 1 + -5(-7 + -3x) 27 + 6x = 1 + (-7 * -5 + -3x * -5) 27 + 6x = 1 + (35 + 15x) Combine like terms: 1 + 35 = 36 27 + 6x = 36 + 15x Solving 27 + 6x = 36 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 27 + 6x + -15x = 36 + 15x + -15x Combine like terms: 6x + -15x = -9x 27 + -9x = 36 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + -9x = 36 + 0 27 + -9x = 36 Add '-27' to each side of the equation. 27 + -27 + -9x = 36 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = 36 + -27 -9x = 36 + -27 Combine like terms: 36 + -27 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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