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Simplifying 3 + -1(2x(-27) + 1) = 14 + -1(-27 + -15) Reorder the terms for easier multiplication: 3 + -1(2 * -27x + 1) = 14 + -1(-27 + -15) Multiply 2 * -27 3 + -1(-54x + 1) = 14 + -1(-27 + -15) Reorder the terms: 3 + -1(1 + -54x) = 14 + -1(-27 + -15) 3 + (1 * -1 + -54x * -1) = 14 + -1(-27 + -15) 3 + (-1 + 54x) = 14 + -1(-27 + -15) Combine like terms: 3 + -1 = 2 2 + 54x = 14 + -1(-27 + -15) Combine like terms: -27 + -15 = -42 2 + 54x = 14 + -1(-42) Multiply -1 * -42 2 + 54x = 14 + 42 Combine like terms: 14 + 42 = 56 2 + 54x = 56 Solving 2 + 54x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 54x = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 54x = 56 + -2 54x = 56 + -2 Combine like terms: 56 + -2 = 54 54x = 54 Divide each side by '54'. x = 1 Simplifying x = 1
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