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Simplifying 14x + -1(9 + -1x) = 27 + -1(-2x + 8) * 2 14x + (9 * -1 + -1x * -1) = 27 + -1(-2x + 8) * 2 14x + (-9 + 1x) = 27 + -1(-2x + 8) * 2 Reorder the terms: -9 + 14x + 1x = 27 + -1(-2x + 8) * 2 Combine like terms: 14x + 1x = 15x -9 + 15x = 27 + -1(-2x + 8) * 2 Reorder the terms: -9 + 15x = 27 + -1(8 + -2x) * 2 Reorder the terms for easier multiplication: -9 + 15x = 27 + -1 * 2(8 + -2x) Multiply -1 * 2 -9 + 15x = 27 + -2(8 + -2x) -9 + 15x = 27 + (8 * -2 + -2x * -2) -9 + 15x = 27 + (-16 + 4x) Combine like terms: 27 + -16 = 11 -9 + 15x = 11 + 4x Solving -9 + 15x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 15x + -4x = 11 + 4x + -4x Combine like terms: 15x + -4x = 11x -9 + 11x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 11x = 11 + 0 -9 + 11x = 11 Add '9' to each side of the equation. -9 + 9 + 11x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 11 + 9 11x = 11 + 9 Combine like terms: 11 + 9 = 20 11x = 20 Divide each side by '11'. x = 1.818181818 Simplifying x = 1.818181818
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